312200045040 has 160 divisors (see below), whose sum is σ = 1042477402176. Its totient is φ = 76833792000.

The previous prime is 312200044991. The next prime is 312200045051. The reversal of 312200045040 is 40540002213.

It is a junction number, because it is equal to n+sod(n) for n = 312200044998 and 312200045016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28077562 + ... + 28088678.

Almost surely, 2^312200045040 is an apocalyptic number.

312200045040 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 312200045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521238701088).

312200045040 is an abundant number, since it is smaller than the sum of its proper divisors (730277357136).

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

312200045040 is a wasteful number, since it uses less digits than its factorization.

312200045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20147 (or 20141 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 312200045040 its reverse (40540002213), we get a palindrome (352740047253).

The spelling of 312200045040 in words is "three hundred twelve billion, two hundred million, forty-five thousand, forty".