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22120100012200 = 2352238146451281
BaseRepresentation
bin1010000011110001111001…
…01101000010000010101000
32220022122211210200010001211
411001320330231002002220
510344403431100342300
6115013500023122504
74442060461545061
oct501707455020250
986278753603054
1022120100012200
117059099872653
1225930348a3434
13c45bbb67b688
14566893449568
152855db9c24ba
hex141e3cb420a8

22120100012200 has 48 divisors (see below), whose sum is σ = 51450833481660. Its totient is φ = 8844323712000.

The previous prime is 22120100012161. The next prime is 22120100012201. The reversal of 22120100012200 is 221000102122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8009273564356 + 14110826447844 = 2830066^2 + 3756438^2 .

It is not an unprimeable number, because it can be changed into a prime (22120100012201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22749441 + ... + 23701840.

Almost surely, 222120100012200 is an apocalyptic number.

22120100012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120100012200 is an abundant number, since it is smaller than the sum of its proper divisors (29330733469460).

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

22120100012200 is a wasteful number, since it uses less digits than its factorization.

22120100012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46453678 (or 46453669 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22120100012200 its reverse (221000102122), we get a palindrome (22341100114322).

The spelling of 22120100012200 in words is "twenty-two trillion, one hundred twenty billion, one hundred million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2381 4762 9524 11905 19048 23810 47620 59525 95240 119050 238100 476200 46451281 92902562 185805124 232256405 371610248 464512810 929025620 1161282025 1858051240 2322564050 4645128100 9290256200 110600500061 221201000122 442402000244 553002500305 884804000488 1106005000610 2212010001220 2765012501525 4424020002440 5530025003050 11060050006100 22120100012200