122310001213200 has 90 divisors (see below), whose sum is σ = 424449679222634. Its totient is φ = 32616000322560.

The previous prime is 122310001213181. The next prime is 122310001213247. The reversal of 122310001213200 is 2312100013221.

122310001213200 is a `hidden beast` number, since 1 + 22 + 310 + 0 + 0 + 12 + 1 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 68585324544 + 122241415888656 = 261888^2 + 11056284^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16987496569 + ... + 16987503768.

Almost surely, 2^{122310001213200} is an apocalyptic number.

122310001213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122310001213200 is an abundant number, since it is smaller than the sum of its proper divisors (302139678009434).

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

122310001213200 is a wasteful number, since it uses less digits than its factorization.

122310001213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33975000361 (or 33975000347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122310001213200 its reverse (2312100013221), we get a palindrome (124622101226421).

The spelling of 122310001213200 in words is "one hundred twenty-two trillion, three hundred ten billion, one million, two hundred thirteen thousand, two hundred".