102232002012000 has 384 divisors, whose sum is σ = 390567990758400. Its totient is φ = 23367313804800.

The previous prime is 102232002011977. The next prime is 102232002012029. The reversal of 102232002012000 is 210200232201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8302854 + ... + 16534853.

It is an arithmetic number, because the mean of its divisors is an integer number (1017104142600).

Almost surely, 2^{102232002012000} is an apocalyptic number.

102232002012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102232002012000 is an abundant number, since it is smaller than the sum of its proper divisors (288335988746400).

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

102232002012000 is an equidigital number, since it uses as much as digits as its factorization.

102232002012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24837756 (or 24837724 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102232002012000 its reverse (210200232201), we get a palindrome (102442202244201).

The spelling of 102232002012000 in words is "one hundred two trillion, two hundred thirty-two billion, two million, twelve thousand".