122101001022000 has 960 divisors, whose sum is σ = 532546326853632. Its totient is φ = 23419959552000.

The previous prime is 122101001021971. The next prime is 122101001022001. The reversal of 122101001022000 is 220100101221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (122101001022001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65141917 + ... + 66990083.

Almost surely, 2^{122101001022000} is an apocalyptic number.

122101001022000 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 122101001022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266273163426816).

122101001022000 is an abundant number, since it is smaller than the sum of its proper divisors (410445325831632).

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

122101001022000 is a wasteful number, since it uses less digits than its factorization.

122101001022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848235 (or 1848208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122101001022000 its reverse (220100101221), we get a palindrome (122321101123221).

The spelling of 122101001022000 in words is "one hundred twenty-two trillion, one hundred one billion, one million, twenty-two thousand".