32254542125120 has 224 divisors, whose sum is σ = 95453816297472. Its totient is φ = 10126885552128.

The previous prime is 32254542125107. The next prime is 32254542125123. The reversal of 32254542125120 is 2152124545223.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×32254542125120² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32254542125123) 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 31 ways as a sum of consecutive naturals, for example, 10037264 + ... + 12855183.

Almost surely, 2^{32254542125120} is an apocalyptic number.

It is an amenable number.

32254542125120 is an abundant number, since it is smaller than the sum of its proper divisors (63199274172352).

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

32254542125120 is a wasteful number, since it uses less digits than its factorization.

32254542125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22892525 (or 22892515 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 32254542125120 in words is "thirty-two trillion, two hundred fifty-four billion, five hundred forty-two million, one hundred twenty-five thousand, one hundred twenty".