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2212012212102 = 235711222324097
BaseRepresentation
bin100000001100000110001…
…100111011111110000110
321211110120221020010200000
4200030012030323332012
5242220200111241402
64412103454302130
7315545503400430
oct40140614737606
97743527203600
102212012212102
11783122254800
122b88524b7946
13130790402754
14790c204b650
153c815cd5c1c
hex2030633bf86

2212012212102 has 288 divisors, whose sum is σ = 6271815653376. Its totient is φ = 571948439040.

The previous prime is 2212012212101. The next prime is 2212012212103. The reversal of 2212012212102 is 2012122102122.

It is a happy number.

2212012212102 is a `hidden beast` number, since 221 + 201 + 221 + 21 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2212012212101) and next prime (2212012212103).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212012212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91784118 + ... + 91808214.

Almost surely, 22212012212102 is an apocalyptic number.

2212012212102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212012212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135907826688).

2212012212102 is an abundant number, since it is smaller than the sum of its proper divisors (4059803441274).

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

2212012212102 is a wasteful number, since it uses less digits than its factorization.

2212012212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24366 (or 24343 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212012212102 its reverse (2012122102122), we get a palindrome (4224134314224).

The spelling of 2212012212102 in words is "two trillion, two hundred twelve billion, twelve million, two hundred twelve thousand, one hundred two".