232121232000 has 1152 divisors, whose sum is σ = 986181842880. Its totient is φ = 52157952000.

The previous prime is 232121231929. The next prime is 232121232037. The reversal of 232121232000 is 232121232.

232121232000 is a `hidden beast` number, since 2 + 321 + 21 + 2 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 472751755 + ... + 472752245.

Almost surely, 2^232121232000 is an apocalyptic number.

232121232000 is a gapful number since it is divisible by the number (20) 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 232121232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493090921440).

232121232000 is an abundant number, since it is smaller than the sum of its proper divisors (754060610880).

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

232121232000 is a wasteful number, since it uses less digits than its factorization.

232121232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 575 counting only the distinct ones).

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

Adding to 232121232000 its reverse (232121232), we get a palindrome (232353353232).

232121232000 divided by its reverse (232121232) gives a cube (1000 = 10³).

The spelling of 232121232000 in words is "two hundred thirty-two billion, one hundred twenty-one million, two hundred thirty-two thousand".