102123288027432 has 320 divisors, whose sum is σ = 328140911831040. Its totient is φ = 29067602457600.

The previous prime is 102123288027427. The next prime is 102123288027437. The reversal of 102123288027432 is 234720882321201.

102123288027432 is a `hidden beast` number, since 1 + 0 + 21 + 2 + 328 + 8 + 0 + 274 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (102123288027427) and next prime (102123288027437).

It is not an unprimeable number, because it can be changed into a prime (102123288027437) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9224390457 + ... + 9224401527.

It is an arithmetic number, because the mean of its divisors is an integer number (1025440349472).

Almost surely, 2^{102123288027432} is an apocalyptic number.

102123288027432 is a gapful number since it is divisible by the number (12) 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 102123288027432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164070455915520).

102123288027432 is an abundant number, since it is smaller than the sum of its proper divisors (226017623803608).

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

102123288027432 is a wasteful number, since it uses less digits than its factorization.

102123288027432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18614 (or 18601 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 102123288027432 in words is "one hundred two trillion, one hundred twenty-three billion, two hundred eighty-eight million, twenty-seven thousand, four hundred thirty-two".