122121001332000 has 576 divisors, whose sum is σ = 472999524012288. Its totient is φ = 29593105920000.

The previous prime is 122121001331983. The next prime is 122121001332049. The reversal of 122121001332000 is 233100121221.

122121001332000 is a `hidden beast` number, since 1 + 221 + 210 + 0 + 1 + 33 + 200 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 998254837 + ... + 998377163.

It is an arithmetic number, because the mean of its divisors is an integer number (821179729188).

Almost surely, 2^{122121001332000} is an apocalyptic number.

122121001332000 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 122121001332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236499762006144).

122121001332000 is an abundant number, since it is smaller than the sum of its proper divisors (350878522680288).

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

122121001332000 is a wasteful number, since it uses less digits than its factorization.

122121001332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124890 (or 124869 counting only the distinct ones).

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

Adding to 122121001332000 its reverse (233100121221), we get a palindrome (122354101453221).

The spelling of 122121001332000 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one million, three hundred thirty-two thousand".