312228540000 has 960 divisors, whose sum is σ = 1243222041600. Its totient is φ = 75748608000.

The previous prime is 312228539989. The next prime is 312228540011. The reversal of 312228540000 is 45822213.

312228540000 is a `hidden beast` number, since 31 + 2 + 228 + 5 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (312228539989) and next prime (312228540011).

It is a super-2 number, since 2×312228540000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 554579719 + ... + 554580281.

It is an arithmetic number, because the mean of its divisors is an integer number (1295022960).

Almost surely, 2^312228540000 is an apocalyptic number.

312228540000 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 312228540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621611020800).

312228540000 is an abundant number, since it is smaller than the sum of its proper divisors (930993501600).

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

312228540000 is a wasteful number, since it uses less digits than its factorization.

312228540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 312228540000 in words is "three hundred twelve billion, two hundred twenty-eight million, five hundred forty thousand".