121840091136 has 315 divisors, whose sum is σ = 368995052293. Its totient is φ = 40211251200.

The previous prime is 121840091129. The next prime is 121840091143. The reversal of 121840091136 is 631190048121.

The square root of 121840091136 is 349056.

It is a perfect power (a square), and thus also a powerful number.

121840091136 is a `hidden beast` number, since 1 + 218 + 400 + 9 + 1 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (121840091129) and next prime (121840091143).

It can be written as a sum of positive squares in only one way, i.e., 117062516736 + 4777574400 = 342144^2 + 69120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121840091136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1206337486 + ... + 1206337586.

Almost surely, 2^121840091136 is an apocalyptic number.

121840091136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121840091136 is the 349056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121840091136

121840091136 is an abundant number, since it is smaller than the sum of its proper divisors (247154961157).

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

121840091136 is an frugal number, since it uses more digits than its factorization.

121840091136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 121840091136 by its sum of digits (36), we get a square (4386243280896 = 2094336²).

121840091136 divided by its sum of digits (36) gives a square (3384446976 = 58176²).

The spelling of 121840091136 in words is "one hundred twenty-one billion, eight hundred forty million, ninety-one thousand, one hundred thirty-six".