122121211210000 has 200 divisors, whose sum is σ = 306515406472704. Its totient is φ = 47069811840000.

The previous prime is 122121211209979. The next prime is 122121211210003. The reversal of 122121211210000 is 12112121221.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (122121211210003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 71384637 + ... + 73075363.

Almost surely, 2^{122121211210000} is an apocalyptic number.

122121211210000 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 122121211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153257703236352).

122121211210000 is an abundant number, since it is smaller than the sum of its proper divisors (184394195262704).

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

122121211210000 is a wasteful number, since it uses less digits than its factorization.

122121211210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691019 (or 1690998 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122121211210000 its reverse (12112121221), we get a palindrome (122133323331221).

The spelling of 122121211210000 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred eleven million, two hundred ten thousand".