12202558632 has 240 divisors, whose sum is σ = 39550156800. Its totient is φ = 3502699200.

The previous prime is 12202558609. The next prime is 12202558637. The reversal of 12202558632 is 23685520221.

It is a happy number.

12202558632 is a `hidden beast` number, since 1 + 2 + 20 + 25 + 586 + 32 = 666.

It is a super-2 number, since 2×12202558632² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12202558637) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1485657 + ... + 1493847.

It is an arithmetic number, because the mean of its divisors is an integer number (164792320).

Almost surely, 2^12202558632 is an apocalyptic number.

12202558632 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 12202558632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19775078400).

12202558632 is an abundant number, since it is smaller than the sum of its proper divisors (27347598168).

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

12202558632 is a wasteful number, since it uses less digits than its factorization.

12202558632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12202558632 in words is "twelve billion, two hundred two million, five hundred fifty-eight thousand, six hundred thirty-two".