31220130312000 has 336 divisors, whose sum is σ = 127633841467392. Its totient is φ = 7136029670400.

The previous prime is 31220130311947. The next prime is 31220130312037. The reversal of 31220130312000 is 21303102213.

31220130312000 is a `hidden beast` number, since 3 + 1 + 220 + 130 + 312 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×31220130312000² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30468352 + ... + 31476351.

Almost surely, 2^{31220130312000} is an apocalyptic number.

31220130312000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31220130312000 is an abundant number, since it is smaller than the sum of its proper divisors (96413711155392).

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

31220130312000 is a wasteful number, since it uses less digits than its factorization.

31220130312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61944743 (or 61944720 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31220130312000 its reverse (21303102213), we get a palindrome (31241433414213).

The spelling of 31220130312000 in words is "thirty-one trillion, two hundred twenty billion, one hundred thirty million, three hundred twelve thousand".