122344451453952 has 3696 divisors, whose sum is σ = 484251567528960. Its totient is φ = 30184715059200.

The previous prime is 122344451453951. The next prime is 122344451453981. The reversal of 122344451453952 is 259354154443221.

122344451453952 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 4 + 4 + 51 + 4 + 539 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122344451453951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1122426160074 + ... + 1122426160182.

It is an arithmetic number, because the mean of its divisors is an integer number (131020445760).

Almost surely, 2^{122344451453952} is an apocalyptic number.

122344451453952 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 122344451453952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242125783764480).

122344451453952 is an abundant number, since it is smaller than the sum of its proper divisors (361907116075008).

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

122344451453952 is a wasteful number, since it uses less digits than its factorization.

122344451453952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 206 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 122344451453952 in words is "one hundred twenty-two trillion, three hundred forty-four billion, four hundred fifty-one million, four hundred fifty-three thousand, nine hundred fifty-two".