121742661096 has 320 divisors, whose sum is σ = 410509440000. Its totient is φ = 33659660160.

The previous prime is 121742661091. The next prime is 121742661143. The reversal of 121742661096 is 690166247121.

121742661096 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 4 + 26 + 610 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (121742661091) 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 79 ways as a sum of consecutive naturals, for example, 6881350 + ... + 6899018.

It is an arithmetic number, because the mean of its divisors is an integer number (1282842000).

Almost surely, 2^121742661096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121742661096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205254720000).

121742661096 is an abundant number, since it is smaller than the sum of its proper divisors (288766778904).

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

121742661096 is a wasteful number, since it uses less digits than its factorization.

121742661096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17739 (or 17712 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 121742661096 in words is "one hundred twenty-one billion, seven hundred forty-two million, six hundred sixty-one thousand, ninety-six".