122111110000 has 200 divisors, whose sum is σ = 323261010864. Its totient is φ = 44302080000.

The previous prime is 122111109983. The next prime is 122111110001. The reversal of 122111110000 is 11111221.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×122111110000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111110001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61269004 + ... + 61270996.

Almost surely, 2^122111110000 is an apocalyptic number.

122111110000 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 122111110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161630505432).

122111110000 is an abundant number, since it is smaller than the sum of its proper divisors (201149900864).

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

122111110000 is a wasteful number, since it uses less digits than its factorization.

122111110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 122111110000 its reverse (11111221), we get a palindrome (122122221221).

It can be divided in two parts, 12211 and 1110000, that added together give a palindrome (1122211).

The spelling of 122111110000 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred ten thousand".