122618462541120 has 3360 divisors, whose sum is σ = 577900019321856. Its totient is φ = 24421765939200.

The previous prime is 122618462541119. The next prime is 122618462541137. The reversal of 122618462541120 is 21145264816221.

122618462541120 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 1 + 8 + 4 + 625 + 4 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 20985528919 + ... + 20985534761.

Almost surely, 2^{122618462541120} is an apocalyptic number.

122618462541120 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 122618462541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288950009660928).

122618462541120 is an abundant number, since it is smaller than the sum of its proper divisors (455281556780736).

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

122618462541120 is a wasteful number, since it uses less digits than its factorization.

122618462541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 122618462541120 in words is "one hundred twenty-two trillion, six hundred eighteen billion, four hundred sixty-two million, five hundred forty-one thousand, one hundred twenty".