122133100012000 has 384 divisors, whose sum is σ = 382087188467712. Its totient is φ = 37257509376000.

The previous prime is 122133100011997. The next prime is 122133100012039. The reversal of 122133100012000 is 210001331221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10257532 + ... + 18694468.

It is an arithmetic number, because the mean of its divisors is an integer number (995018719968).

Almost surely, 2^{122133100012000} is an apocalyptic number.

122133100012000 is a gapful number since it is divisible by the number (10) 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 122133100012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191043594233856).

122133100012000 is an abundant number, since it is smaller than the sum of its proper divisors (259954088455712).

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

122133100012000 is a wasteful number, since it uses less digits than its factorization.

122133100012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8437027 (or 8437009 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122133100012000 its reverse (210001331221), we get a palindrome (122343101343221).

The spelling of 122133100012000 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred million, twelve thousand".