31220121132000 has 288 divisors, whose sum is σ = 111597351596640. Its totient is φ = 8265469593600.

The previous prime is 31220121131939. The next prime is 31220121132001. The reversal of 31220121132000 is 23112102213.

31220121132000 is a `hidden beast` number, since 3 + 1 + 220 + 121 + 1 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×31220121132000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31220121132001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1884484 + ... + 8123516.

It is an arithmetic number, because the mean of its divisors is an integer number (387490804155).

Almost surely, 2^{31220121132000} is an apocalyptic number.

31220121132000 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 31220121132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55798675798320).

31220121132000 is an abundant number, since it is smaller than the sum of its proper divisors (80377230464640).

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

31220121132000 is a wasteful number, since it uses less digits than its factorization.

31220121132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6239203 (or 6239182 counting only the distinct ones).

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

Adding to 31220121132000 its reverse (23112102213), we get a palindrome (31243233234213).

The spelling of 31220121132000 in words is "thirty-one trillion, two hundred twenty billion, one hundred twenty-one million, one hundred thirty-two thousand".