122013203010000 has 400 divisors, whose sum is σ = 417966122027520. Its totient is φ = 30594703040000.

The previous prime is 122013203009963. The next prime is 122013203010001. The reversal of 122013203010000 is 10302310221.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122013203010001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39211435 + ... + 42208565.

Almost surely, 2^{122013203010000} is an apocalyptic number.

122013203010000 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 122013203010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208983061013760).

122013203010000 is an abundant number, since it is smaller than the sum of its proper divisors (295952919017520).

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

122013203010000 is a wasteful number, since it uses less digits than its factorization.

122013203010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997244 (or 2997223 counting only the distinct ones).

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

Adding to 122013203010000 its reverse (10302310221), we get a palindrome (122023505320221).

The spelling of 122013203010000 in words is "one hundred twenty-two trillion, thirteen billion, two hundred three million, ten thousand".