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121232522136960 = 27345131912774551
BaseRepresentation
bin11011100100001010100101…
…011010101100110110000000
3120220020201022220121212210000
4123210022211122230312000
5111342233201131340320
61105501241331440000
734351521625404063
oct3344124532546600
9526221286555700
10121232522136960
11356a0473248143
121171b812456000
135285240789bb0
1421d19849768da
15e038095b9c90
hex6e42a56acd80

121232522136960 has 1280 divisors, whose sum is σ = 494656933478400. Its totient is φ = 28048243507200.

The previous prime is 121232522136937. The next prime is 121232522136961. The reversal of 121232522136960 is 69631225232121.

It is a happy number.

121232522136960 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 2 + 5 + 221 + 369 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121232522136961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1626131685 + ... + 1626206235.

It is an arithmetic number, because the mean of its divisors is an integer number (386450729280).

Almost surely, 2121232522136960 is an apocalyptic number.

121232522136960 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 121232522136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247328466739200).

121232522136960 is an abundant number, since it is smaller than the sum of its proper divisors (373424411341440).

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

121232522136960 is a wasteful number, since it uses less digits than its factorization.

121232522136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74741 (or 74720 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 121232522136960 in words is "one hundred twenty-one trillion, two hundred thirty-two billion, five hundred twenty-two million, one hundred thirty-six thousand, nine hundred sixty".