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201200100212120 = 235101467106642409
BaseRepresentation
bin101101101111110110001100…
…100000000111110110011000
3222101101112121220220110201212
4231233312030200013312120
5202332430301123241440
61551530014450002252
760244141021645262
oct5557661440076630
9871345556813655
10201200100212120
1159121535326279
121a695b16576388
13883611b562aa9
1437981cb596b32
15183da22972465
hexb6fd8c807d98

201200100212120 has 64 divisors (see below), whose sum is σ = 458161387538400. Its totient is φ = 79512579404800.

The previous prime is 201200100212119. The next prime is 201200100212159. The reversal of 201200100212120 is 21212001002102.

It is a junction number, because it is equal to n+sod(n) for n = 201200100212095 and 201200100212104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51434525 + ... + 55207884.

Almost surely, 2201200100212120 is an apocalyptic number.

201200100212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200100212120 is an abundant number, since it is smaller than the sum of its proper divisors (256961287326280).

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

201200100212120 is a wasteful number, since it uses less digits than its factorization.

201200100212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106642988 (or 106642984 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201200100212120 its reverse (21212001002102), we get a palindrome (222412101214222).

The spelling of 201200100212120 in words is "two hundred one trillion, two hundred billion, one hundred million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 467 505 808 934 1010 1868 2020 2335 3736 4040 4670 9340 18680 47167 94334 188668 235835 377336 471670 943340 1886680 106642409 213284818 426569636 533212045 853139272 1066424090 2132848180 4265696360 10770883309 21541766618 43083533236 49802005003 53854416545 86167066472 99604010006 107708833090 199208020012 215417666180 249010025015 398416040024 430835332360 498020050030 996040100060 1992080200120 5030002505303 10060005010606 20120010021212 25150012526515 40240020042424 50300025053030 100600050106060 201200100212120