312012001121220 has 144 divisors (see below), whose sum is σ = 982036548777648. Its totient is φ = 80119882874880.

The previous prime is 312012001121207. The next prime is 312012001121221. The reversal of 312012001121220 is 22121100210213.

312012001121220 is a `hidden beast` number, since 3 + 120 + 1 + 200 + 1 + 121 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 541531148544 + 311470469972676 = 735888^2 + 17648526^2 .

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 = 312012001121193 and 312012001121202.

It is not an unprimeable number, because it can be changed into a prime (312012001121221) 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, 240841861 + ... + 242133900.

Almost surely, 2^{312012001121220} is an apocalyptic number.

312012001121220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312012001121220 is an abundant number, since it is smaller than the sum of its proper divisors (670024547656428).

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

312012001121220 is a wasteful number, since it uses less digits than its factorization.

312012001121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482975910 (or 482975905 counting only the distinct ones).

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

Adding to 312012001121220 its reverse (22121100210213), we get a palindrome (334133101331433).

The spelling of 312012001121220 in words is "three hundred twelve trillion, twelve billion, one million, one hundred twenty-one thousand, two hundred twenty".