122201111002212 has 192 divisors, whose sum is σ = 357542264217600. Its totient is φ = 35758362384000.

The previous prime is 122201111002133. The next prime is 122201111002231. The reversal of 122201111002212 is 212200111102221.

122201111002212 is a `hidden beast` number, since 12 + 220 + 111 + 100 + 221 + 2 = 666.

It is a super-2 number, since 2×122201111002212² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 13378839 + ... + 20576577.

It is an arithmetic number, because the mean of its divisors is an integer number (1862199292800).

Almost surely, 2^{122201111002212} is an apocalyptic number.

122201111002212 is a gapful number since it is divisible by the number (12) 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 122201111002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178771132108800).

122201111002212 is an abundant number, since it is smaller than the sum of its proper divisors (235341153215388).

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

122201111002212 is a wasteful number, since it uses less digits than its factorization.

122201111002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7198255 (or 7198247 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122201111002212 its reverse (212200111102221), we get a palindrome (334401222104433).

The spelling of 122201111002212 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred eleven million, two thousand, two hundred twelve".