122211112012000 has 576 divisors, whose sum is σ = 337954803234048. Its totient is φ = 43071799680000.

The previous prime is 122211112011973. The next prime is 122211112012057. The reversal of 122211112012000 is 210211112221.

It is a super-2 number, since 2×122211112012000² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10657630267 + ... + 10657641733.

It is an arithmetic number, because the mean of its divisors is an integer number (586727088948).

Almost surely, 2^{122211112012000} is an apocalyptic number.

122211112012000 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 122211112012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168977401617024).

122211112012000 is an abundant number, since it is smaller than the sum of its proper divisors (215743691222048).

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

122211112012000 is a wasteful number, since it uses less digits than its factorization.

122211112012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11720 (or 11659 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122211112012000 its reverse (210211112221), we get a palindrome (122421323124221).

The spelling of 122211112012000 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred twelve million, twelve thousand".