122013200000 has 96 divisors (see below), whose sum is σ = 303823015020. Its totient is φ = 48805120000.

The previous prime is 122013199993. The next prime is 122013200009. The reversal of 122013200000 is 2310221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 37397371456 + 84615828544 = 193384^2 + 290888^2 .

It is not an unprimeable number, because it can be changed into a prime (122013200009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247484 + ... + 552516.

Almost surely, 2^122013200000 is an apocalyptic number.

122013200000 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 122013200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151911507510).

122013200000 is an abundant number, since it is smaller than the sum of its proper divisors (181809815020).

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

122013200000 is an frugal number, since it uses more digits than its factorization.

122013200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305072 (or 305040 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 122013200000 its reverse (2310221), we get a palindrome (122015510221).

The spelling of 122013200000 in words is "one hundred twenty-two billion, thirteen million, two hundred thousand".