121426610112 has 336 divisors, whose sum is σ = 370581399552. Its totient is φ = 39403791360.

The previous prime is 121426610093. The next prime is 121426610153. The reversal of 121426610112 is 211016624121.

121426610112 is a `hidden beast` number, since 1 + 2 + 1 + 42 + 6 + 610 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198085518 + ... + 198086130.

It is an arithmetic number, because the mean of its divisors is an integer number (1102920832).

Almost surely, 2^121426610112 is an apocalyptic number.

121426610112 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 121426610112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185290699776).

121426610112 is an abundant number, since it is smaller than the sum of its proper divisors (249154789440).

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

121426610112 is an equidigital number, since it uses as much as digits as its factorization.

121426610112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 121426610112 in words is "one hundred twenty-one billion, four hundred twenty-six million, six hundred ten thousand, one hundred twelve".