122312223213300 has 108 divisors (see below), whose sum is σ = 385498995397516. Its totient is φ = 32436390643200.

The previous prime is 122312223213293. The next prime is 122312223213307. The reversal of 122312223213300 is 3312322213221.

122312223213300 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 2 + 2 + 2 + 321 + 330 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122312223213293) and next prime (122312223213307).

It can be written as a sum of positive squares in 6 ways, for example, as 55070320799844 + 67241902413456 = 7420938^2 + 8200116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312223213307) 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, 375258289 + ... + 375584088.

Almost surely, 2^{122312223213300} is an apocalyptic number.

122312223213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122312223213300 is an abundant number, since it is smaller than the sum of its proper divisors (263186772184216).

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

122312223213300 is a wasteful number, since it uses less digits than its factorization.

122312223213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750842578 (or 750842568 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122312223213300 its reverse (3312322213221), we get a palindrome (125624545426521).

The spelling of 122312223213300 in words is "one hundred twenty-two trillion, three hundred twelve billion, two hundred twenty-three million, two hundred thirteen thousand, three hundred".