122013201330 has 192 divisors, whose sum is σ = 344892936960. Its totient is φ = 29853992448.

The previous prime is 122013201307. The next prime is 122013201347. The reversal of 122013201330 is 33102310221.

122013201330 is a `hidden beast` number, since 12 + 2 + 0 + 1 + 320 + 1 + 330 = 666.

It is a super-2 number, since 2×122013201330² (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4137819 + ... + 4167201.

It is an arithmetic number, because the mean of its divisors is an integer number (1796317380).

Almost surely, 2^122013201330 is an apocalyptic number.

122013201330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122013201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172446468480).

122013201330 is an abundant number, since it is smaller than the sum of its proper divisors (222879735630).

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

122013201330 is a wasteful number, since it uses less digits than its factorization.

122013201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29505 (or 29502 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122013201330 its reverse (33102310221), we get a palindrome (155115511551).

The spelling of 122013201330 in words is "one hundred twenty-two billion, thirteen million, two hundred one thousand, three hundred thirty".