122111001011000 has 64 divisors (see below), whose sum is σ = 298163209481280. Its totient is φ = 46720730812800.

The previous prime is 122111001010981. The next prime is 122111001011029. The reversal of 122111001011000 is 110100111221.

It is a super-2 number, since 2×122111001011000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2654563979 + ... + 2654609978.

It is an arithmetic number, because the mean of its divisors is an integer number (4658800148145).

Almost surely, 2^{122111001011000} is an apocalyptic number.

122111001011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111001011000 is an abundant number, since it is smaller than the sum of its proper divisors (176052208470280).

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

122111001011000 is a wasteful number, since it uses less digits than its factorization.

122111001011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309174001 (or 5309173987 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 122111001011000 its reverse (110100111221), we get a palindrome (122221101122221).

The spelling of 122111001011000 in words is "one hundred twenty-two trillion, one hundred eleven billion, one million, eleven thousand".