122451189748992 has 432 divisors, whose sum is σ = 385720018459776. Its totient is φ = 37132204032000.

The previous prime is 122451189748991. The next prime is 122451189749051. The reversal of 122451189748992 is 299847981154221.

122451189748992 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 51 + 1 + 8 + 9 + 7 + 489 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 122451189748992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122451189748991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6318095142 + ... + 6318114522.

Almost surely, 2^{122451189748992} is an apocalyptic number.

122451189748992 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 122451189748992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192860009229888).

122451189748992 is an abundant number, since it is smaller than the sum of its proper divisors (263268828710784).

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

122451189748992 is a wasteful number, since it uses less digits than its factorization.

122451189748992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22458 (or 22441 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 72.

The spelling of 122451189748992 in words is "one hundred twenty-two trillion, four hundred fifty-one billion, one hundred eighty-nine million, seven hundred forty-eight thousand, nine hundred ninety-two".