31220001012420 has 144 divisors (see below), whose sum is σ = 103773095741952. Its totient is φ = 7534545592320.

The previous prime is 31220001012419. The next prime is 31220001012451. The reversal of 31220001012420 is 2421010002213.

It is a happy number.

31220001012420 is a `hidden beast` number, since 3 + 1 + 220 + 0 + 0 + 10 + 12 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31220001012393 and 31220001012402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34911997 + ... + 35795076.

It is an arithmetic number, because the mean of its divisors is an integer number (720646498208).

Almost surely, 2^{31220001012420} is an apocalyptic number.

31220001012420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31220001012420 is an abundant number, since it is smaller than the sum of its proper divisors (72553094729532).

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

31220001012420 is a wasteful number, since it uses less digits than its factorization.

31220001012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70707322 (or 70707317 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31220001012420 its reverse (2421010002213), we get a palindrome (33641011014633).

The spelling of 31220001012420 in words is "thirty-one trillion, two hundred twenty billion, one million, twelve thousand, four hundred twenty".