122103312013300 has 144 divisors (see below), whose sum is σ = 274195459367424. Its totient is φ = 47164291200000.

The previous prime is 122103312013253. The next prime is 122103312013339. The reversal of 122103312013300 is 3310213301221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1453863109 + ... + 1453947091.

It is an arithmetic number, because the mean of its divisors is an integer number (1904135134496).

Almost surely, 2^{122103312013300} is an apocalyptic number.

122103312013300 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 122103312013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137097729683712).

122103312013300 is an abundant number, since it is smaller than the sum of its proper divisors (152092147354124).

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

122103312013300 is a wasteful number, since it uses less digits than its factorization.

122103312013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87650 (or 87643 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122103312013300 its reverse (3310213301221), we get a palindrome (125413525314521).

The spelling of 122103312013300 in words is "one hundred twenty-two trillion, one hundred three billion, three hundred twelve million, thirteen thousand, three hundred".