312000221012010 has 128 divisors (see below), whose sum is σ = 809533691320320. Its totient is φ = 76688950991616.

The previous prime is 312000221011903. The next prime is 312000221012021. The reversal of 312000221012010 is 10210122000213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1004213749 + ... + 1004524391.

It is an arithmetic number, because the mean of its divisors is an integer number (6324481963440).

Almost surely, 2^{312000221012010} is an apocalyptic number.

312000221012010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312000221012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404766845660160).

312000221012010 is an abundant number, since it is smaller than the sum of its proper divisors (497533470308310).

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

312000221012010 is a wasteful number, since it uses less digits than its factorization.

312000221012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358332.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 312000221012010 its reverse (10210122000213), we get a palindrome (322210343012223).

The spelling of 312000221012010 in words is "three hundred twelve trillion, two hundred twenty-one million, twelve thousand, ten".