122814120672000 has 1728 divisors, whose sum is σ = 483676944791040. Its totient is φ = 30945245184000.

The previous prime is 122814120671971. The next prime is 122814120672007. The reversal of 122814120672000 is 276021418221.

122814120672000 is a `hidden beast` number, since 12 + 28 + 1 + 412 + 0 + 6 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122814120672007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72542303154 + ... + 72542304846.

Almost surely, 2^{122814120672000} is an apocalyptic number.

122814120672000 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 122814120672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241838472395520).

122814120672000 is an abundant number, since it is smaller than the sum of its proper divisors (360862824119040).

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

122814120672000 is an equidigital number, since it uses as much as digits as its factorization.

122814120672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 122814120672000 in words is "one hundred twenty-two trillion, eight hundred fourteen billion, one hundred twenty million, six hundred seventy-two thousand".