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121092145092 = 22327649439753
BaseRepresentation
bin111000011000110100…
…1110111111111000100
3102120120010020022220200
41300301221313333010
53440444042120332
6131343504530500
711514530151612
oct1606151677704
9376503208820
10121092145092
114739a3a4976
121b575620a30
13b55a547979
145c0a3dc6b2
15323acd917c
hex1c31a77fc4

121092145092 has 36 divisors (see below), whose sum is σ = 306134747100. Its totient is φ = 40358679552.

The previous prime is 121092145087. The next prime is 121092145117. The reversal of 121092145092 is 290541290121.

121092145092 is a `hidden beast` number, since 12 + 109 + 2 + 1 + 450 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34571452356 + 86520692736 = 185934^2 + 294144^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55488 + ... + 495240.

It is an arithmetic number, because the mean of its divisors is an integer number (8503742975).

Almost surely, 2121092145092 is an apocalyptic number.

121092145092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121092145092 is an abundant number, since it is smaller than the sum of its proper divisors (185042602008).

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

121092145092 is a wasteful number, since it uses less digits than its factorization.

121092145092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447412 (or 447407 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 121092145092 in words is "one hundred twenty-one billion, ninety-two million, one hundred forty-five thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 7649 15298 22947 30596 45894 68841 91788 137682 275364 439753 879506 1319259 1759012 2638518 3957777 5277036 7915554 15831108 3363670697 6727341394 10091012091 13454682788 20182024182 30273036273 40364048364 60546072546 121092145092