122754078720 has 2304 divisors, whose sum is σ = 592911446400. Its totient is φ = 23781703680.

The previous prime is 122754078691. The next prime is 122754078749. The reversal of 122754078720 is 27870457221.

122754078720 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 540 + 7 + 87 + 20 = 666.

122754078720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122754078691) and next prime (122754078749).

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2994001900 + ... + 2994001940.

Almost surely, 2^122754078720 is an apocalyptic number.

122754078720 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 122754078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296455723200).

122754078720 is an abundant number, since it is smaller than the sum of its proper divisors (470157367680).

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

122754078720 is a wasteful number, since it uses less digits than its factorization.

122754078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 122754078720 in words is "one hundred twenty-two billion, seven hundred fifty-four million, seventy-eight thousand, seven hundred twenty".