32212865121120 has 768 divisors, whose sum is σ = 115979351040000. Its totient is φ = 8346560495616.

The previous prime is 32212865121091. The next prime is 32212865121127. The reversal of 32212865121120 is 2112156821223.

32212865121120 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 28 + 6 + 512 + 112 + 0 = 666.

It is a super-2 number, since 2×32212865121120² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32212865121127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20876775069 + ... + 20876776611.

It is an arithmetic number, because the mean of its divisors is an integer number (151014780000).

Almost surely, 2^{32212865121120} is an apocalyptic number.

32212865121120 is a gapful number since it is divisible by the number (30) 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 32212865121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57989675520000).

32212865121120 is an abundant number, since it is smaller than the sum of its proper divisors (83766485918880).

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

32212865121120 is a wasteful number, since it uses less digits than its factorization.

32212865121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 32212865121120 in words is "thirty-two trillion, two hundred twelve billion, eight hundred sixty-five million, one hundred twenty-one thousand, one hundred twenty".