312121101420 has 72 divisors (see below), whose sum is σ = 946936068624. Its totient is φ = 83217460608.

The previous prime is 312121101403. The next prime is 312121101449. The reversal of 312121101420 is 24101121213.

312121101420 is a `hidden beast` number, since 3 + 121 + 21 + 101 + 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 = 312121101393 and 312121101402.

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 23 ways as a sum of consecutive naturals, for example, 877407 + ... + 1180713.

It is an arithmetic number, because the mean of its divisors is an integer number (13151889842).

Almost surely, 2^312121101420 is an apocalyptic number.

312121101420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312121101420 is an abundant number, since it is smaller than the sum of its proper divisors (634814967204).

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

312121101420 is a wasteful number, since it uses less digits than its factorization.

312121101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309039 (or 309034 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 312121101420 its reverse (24101121213), we get a palindrome (336222222633).

The spelling of 312121101420 in words is "three hundred twelve billion, one hundred twenty-one million, one hundred one thousand, four hundred twenty".