312214004100 has 108 divisors (see below), whose sum is σ = 979386204160. Its totient is φ = 83191665600.

The previous prime is 312214004093. The next prime is 312214004107. The reversal of 312214004100 is 1400412213.

312214004100 is a `hidden beast` number, since 3 + 1 + 221 + 400 + 41 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (312214004093) and next prime (312214004107).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (312214004107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1015485 + ... + 1286715.

Almost surely, 2^312214004100 is an apocalyptic number.

312214004100 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 312214004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489693102080).

312214004100 is an abundant number, since it is smaller than the sum of its proper divisors (667172200060).

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

312214004100 is a wasteful number, since it uses less digits than its factorization.

312214004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272530 (or 272520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 312214004100 its reverse (1400412213), we get a palindrome (313614416313).

The spelling of 312214004100 in words is "three hundred twelve billion, two hundred fourteen million, four thousand, one hundred".