102012131232 has 144 divisors (see below), whose sum is σ = 319732987392. Its totient is φ = 30593986560.

The previous prime is 102012131231. The next prime is 102012131261. The reversal of 102012131232 is 232131210201.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (102012131231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141313 + ... + 473279.

It is an arithmetic number, because the mean of its divisors is an integer number (2220367968).

Almost surely, 2^102012131232 is an apocalyptic number.

102012131232 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 102012131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159866493696).

102012131232 is an abundant number, since it is smaller than the sum of its proper divisors (217720856160).

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

102012131232 is a wasteful number, since it uses less digits than its factorization.

102012131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332091 (or 332080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102012131232 its reverse (232131210201), we get a palindrome (334143341433).

The spelling of 102012131232 in words is "one hundred two billion, twelve million, one hundred thirty-one thousand, two hundred thirty-two".