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12200542506700 = 22522915432726561
BaseRepresentation
bin1011000110001010100100…
…0000001000111011001100
31121012100201210011222120121
42301202221000020323030
53044343202340203300
641540503555554324
72366313550131502
oct261425100107314
947170653158517
1012200542506700
1139842481a5349
121450668bbb9a4
136a6677227632
1430271bb5c672
1516256dd0781a
hexb18a9008ecc

12200542506700 has 72 divisors (see below), whose sum is σ = 27405874349280. Its totient is φ = 4708878182400.

The previous prime is 12200542506629. The next prime is 12200542506781. The reversal of 12200542506700 is 760524500221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3111420 + ... + 5837980.

It is an arithmetic number, because the mean of its divisors is an integer number (380637143740).

Almost surely, 212200542506700 is an apocalyptic number.

12200542506700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200542506700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13702937174640).

12200542506700 is an abundant number, since it is smaller than the sum of its proper divisors (15205331842580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12200542506700 is a wasteful number, since it uses less digits than its factorization.

12200542506700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728147 (or 2728140 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 12200542506700 in words is "twelve trillion, two hundred billion, five hundred forty-two million, five hundred six thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 1543 2900 3086 6172 7715 15430 30860 38575 44747 77150 89494 154300 178988 223735 447470 894940 1118675 2237350 2726561 4474700 5453122 10906244 13632805 27265610 54531220 68164025 79070269 136328050 158140538 272656100 316281076 395351345 790702690 1581405380 1976756725 3953513450 4207083623 7907026900 8414167246 16828334492 21035418115 42070836230 84141672460 105177090575 122005425067 210354181150 244010850134 420708362300 488021700268 610027125335 1220054250670 2440108501340 3050135626675 6100271253350 12200542506700