102220012332000 has 288 divisors, whose sum is σ = 372583661696064. Its totient is φ = 26521948800000.

The previous prime is 102220012331993. The next prime is 102220012332013. The reversal of 102220012332000 is 233210022201.

102220012332000 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 0 + 123 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37038876 + ... + 39702875.

It is an arithmetic number, because the mean of its divisors is an integer number (1293693269778).

Almost surely, 2^{102220012332000} is an apocalyptic number.

102220012332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220012332000 is an abundant number, since it is smaller than the sum of its proper divisors (270363649364064).

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

102220012332000 is a wasteful number, since it uses less digits than its factorization.

102220012332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76741819 (or 76741798 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102220012332000 its reverse (233210022201), we get a palindrome (102453222354201).

The spelling of 102220012332000 in words is "one hundred two trillion, two hundred twenty billion, twelve million, three hundred thirty-two thousand".