312213402204000 has 1536 divisors, whose sum is σ = 1179953778511872. Its totient is φ = 71429529600000.

The previous prime is 312213402203933. The next prime is 312213402204017. The reversal of 312213402204000 is 402204312213.

It is a happy number.

It is a super-4 number, since 4×312213402204000⁴ (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 95977066374 + ... + 95977069626.

It is an arithmetic number, because the mean of its divisors is an integer number (768199074552).

Almost surely, 2^{312213402204000} is an apocalyptic number.

312213402204000 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 312213402204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589976889255936).

312213402204000 is an abundant number, since it is smaller than the sum of its proper divisors (867740376307872).

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

312213402204000 is a wasteful number, since it uses less digits than its factorization.

312213402204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312213402204000 its reverse (402204312213), we get a palindrome (312615606516213).

It can be divided in two parts, 312 and 213402204000, that added together give a palindrome (213402204312).

The spelling of 312213402204000 in words is "three hundred twelve trillion, two hundred thirteen billion, four hundred two million, two hundred four thousand".