121384713100 has 72 divisors (see below), whose sum is σ = 301564136160. Its totient is φ = 41544337920.

The previous prime is 121384713091. The next prime is 121384713101. The reversal of 121384713100 is 1317483121.

It is a super-2 number, since 2×121384713100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121384713101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 245922 + ... + 550678.

It is an arithmetic number, because the mean of its divisors is an integer number (4188390780).

Almost surely, 2^121384713100 is an apocalyptic number.

121384713100 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 121384713100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150782068080).

121384713100 is an abundant number, since it is smaller than the sum of its proper divisors (180179423060).

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

121384713100 is a wasteful number, since it uses less digits than its factorization.

121384713100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305347 (or 305340 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 121384713100 in words is "one hundred twenty-one billion, three hundred eighty-four million, seven hundred thirteen thousand, one hundred".