312000134020000 has 480 divisors, whose sum is σ = 819033093914112. Its totient is φ = 116549701632000.

The previous prime is 312000134019979. The next prime is 312000134020033. The reversal of 312000134020000 is 20431000213.

It is a happy number.

It is a super-2 number, since 2×312000134020000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23731653427 + ... + 23731666573.

Almost surely, 2^{312000134020000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312000134020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409516546957056).

312000134020000 is an abundant number, since it is smaller than the sum of its proper divisors (507032959894112).

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

312000134020000 is a wasteful number, since it uses less digits than its factorization.

312000134020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13730 (or 13707 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 312000134020000 its reverse (20431000213), we get a palindrome (312020565020213).

The spelling of 312000134020000 in words is "three hundred twelve trillion, one hundred thirty-four million, twenty thousand".