122123030010000 has 200 divisors, whose sum is σ = 394422965999040. Its totient is φ = 32550153408000.

The previous prime is 122123030009971. The next prime is 122123030010019. The reversal of 122123030010000 is 10030321221.

122123030010000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×122123030010000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60171774 + ... + 62168226.

Almost surely, 2^{122123030010000} is an apocalyptic number.

122123030010000 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 122123030010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197211482999520).

122123030010000 is an abundant number, since it is smaller than the sum of its proper divisors (272299935989040).

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

122123030010000 is a wasteful number, since it uses less digits than its factorization.

122123030010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998523 (or 1998502 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122123030010000 its reverse (10030321221), we get a palindrome (122133060331221).

The spelling of 122123030010000 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, thirty million, ten thousand".