122133211321200 has 60 divisors (see below), whose sum is σ = 391233386936088. Its totient is φ = 32568856352000.

The previous prime is 122133211321133. The next prime is 122133211321217. The reversal of 122133211321200 is 2123112331221.

It is a tau number, because it is divible by the number of its divisors (60).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50888836851 + ... + 50888839250.

Almost surely, 2^{122133211321200} is an apocalyptic number.

122133211321200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133211321200 is an abundant number, since it is smaller than the sum of its proper divisors (269100175614888).

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

122133211321200 is a wasteful number, since it uses less digits than its factorization.

122133211321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101777676122 (or 101777676111 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 122133211321200 its reverse (2123112331221), we get a palindrome (124256323652421).

The spelling of 122133211321200 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, two hundred eleven million, three hundred twenty-one thousand, two hundred".