122049627191712 has 384 divisors, whose sum is σ = 392991391457280. Its totient is φ = 36542979809280.

The previous prime is 122049627191683. The next prime is 122049627191783. The reversal of 122049627191712 is 217191726940221.

122049627191712 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 9 + 627 + 1 + 9 + 1 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×122049627191712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 559476963 + ... + 559695069.

It is an arithmetic number, because the mean of its divisors is an integer number (1023415081920).

Almost surely, 2^{122049627191712} is an apocalyptic number.

122049627191712 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 122049627191712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196495695728640).

122049627191712 is an abundant number, since it is smaller than the sum of its proper divisors (270941764265568).

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

122049627191712 is a wasteful number, since it uses less digits than its factorization.

122049627191712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218841 (or 218827 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 122049627191712 in words is "one hundred twenty-two trillion, forty-nine billion, six hundred twenty-seven million, one hundred ninety-one thousand, seven hundred twelve".