232122040221232 has 160 divisors (see below), whose sum is σ = 559481196625920. Its totient is φ = 91042863770880.

The previous prime is 232122040221221. The next prime is 232122040221259.

It is a happy number.

232122040221232 is nontrivially palindromic in base 10.

232122040221232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×232122040221232³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 232122040221232.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34015023 + ... + 40264945.

It is an arithmetic number, because the mean of its divisors is an integer number (3496757478912).

Almost surely, 2^{232122040221232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232122040221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279740598312960).

232122040221232 is an abundant number, since it is smaller than the sum of its proper divisors (327359156404688).

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

232122040221232 is a wasteful number, since it uses less digits than its factorization.

232122040221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250551 (or 6250545 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 232122040221232 in words is "two hundred thirty-two trillion, one hundred twenty-two billion, forty million, two hundred twenty-one thousand, two hundred thirty-two".