122313202000 has 80 divisors (see below), whose sum is σ = 322640046144. Its totient is φ = 44477520000.

The previous prime is 122313201973. The next prime is 122313202003. The reversal of 122313202000 is 202313221.

122313202000 is digitally balanced in base 3, 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 (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2757846 + ... + 2801845.

Almost surely, 2^122313202000 is an apocalyptic number.

122313202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122313202000 is an abundant number, since it is smaller than the sum of its proper divisors (200326844144).

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

122313202000 is a wasteful number, since it uses less digits than its factorization.

122313202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5559725 (or 5559709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 122313202000 its reverse (202313221), we get a palindrome (122515515221).

The spelling of 122313202000 in words is "one hundred twenty-two billion, three hundred thirteen million, two hundred two thousand".