122123211210000 has 2400 divisors, whose sum is σ = 588939527624448. Its totient is φ = 22790522880000.

The previous prime is 122123211209983. The next prime is 122123211210043. The reversal of 122123211210000 is 12112321221.

122123211210000 is a `hidden beast` number, since 1 + 221 + 2 + 321 + 121 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3333311682 + ... + 3333348318.

Almost surely, 2^{122123211210000} is an apocalyptic number.

122123211210000 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 122123211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294469763812224).

122123211210000 is an abundant number, since it is smaller than the sum of its proper divisors (466816316414448).

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

122123211210000 is a wasteful number, since it uses less digits than its factorization.

122123211210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36739 (or 36715 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122123211210000 its reverse (12112321221), we get a palindrome (122135323531221).

The spelling of 122123211210000 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, two hundred eleven million, two hundred ten thousand".