121839201792 has 1440 divisors, whose sum is σ = 489028700160. Its totient is φ = 28466380800.

The previous prime is 121839201769. The next prime is 121839201817. The reversal of 121839201792 is 297102938121.

It is a super-2 number, since 2×121839201792² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2298852838 + ... + 2298852890.

It is an arithmetic number, because the mean of its divisors is an integer number (339603264).

Almost surely, 2^121839201792 is an apocalyptic number.

121839201792 is a gapful number since it is divisible by the number (12) 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 121839201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244514350080).

121839201792 is an abundant number, since it is smaller than the sum of its proper divisors (367189498368).

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

121839201792 is a wasteful number, since it uses less digits than its factorization.

121839201792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 121839201792 in words is "one hundred twenty-one billion, eight hundred thirty-nine million, two hundred one thousand, seven hundred ninety-two".