312030101202000 has 320 divisors, whose sum is σ = 1008477511641600. Its totient is φ = 83001944678400.

The previous prime is 312030101201989. The next prime is 312030101202013. The reversal of 312030101202000 is 202101030213.

It is a super-2 number, since 2×312030101202000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 19062249816 + ... + 19062266184.

It is an arithmetic number, because the mean of its divisors is an integer number (3151492223880).

Almost surely, 2^{312030101202000} is an apocalyptic number.

312030101202000 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 312030101202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504238755820800).

312030101202000 is an abundant number, since it is smaller than the sum of its proper divisors (696447410439600).

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

312030101202000 is a wasteful number, since it uses less digits than its factorization.

312030101202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24071 (or 24055 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312030101202000 its reverse (202101030213), we get a palindrome (312232202232213).

The spelling of 312030101202000 in words is "three hundred twelve trillion, thirty billion, one hundred one million, two hundred two thousand".