121642375206 has 192 divisors, whose sum is σ = 296135884800. Its totient is φ = 33128948160.

The previous prime is 121642375193. The next prime is 121642375223. The reversal of 121642375206 is 602573246121.

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 40290765 + ... + 40293783.

It is an arithmetic number, because the mean of its divisors is an integer number (1542374400).

Almost surely, 2^121642375206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121642375206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148067942400).

121642375206 is an abundant number, since it is smaller than the sum of its proper divisors (174493509594).

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

121642375206 is a wasteful number, since it uses less digits than its factorization.

121642375206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 121642375206 in words is "one hundred twenty-one billion, six hundred forty-two million, three hundred seventy-five thousand, two hundred six".