121231093632 has 256 divisors, whose sum is σ = 357376665600. Its totient is φ = 36104140800.

The previous prime is 121231093619. The next prime is 121231093657. The reversal of 121231093632 is 236390132121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 121231093593 and 121231093602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164047119 + ... + 164047857.

It is an arithmetic number, because the mean of its divisors is an integer number (1396002600).

Almost surely, 2^121231093632 is an apocalyptic number.

121231093632 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 121231093632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178688332800).

121231093632 is an abundant number, since it is smaller than the sum of its proper divisors (236145571968).

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

121231093632 is a wasteful number, since it uses less digits than its factorization.

121231093632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 121231093632 in words is "one hundred twenty-one billion, two hundred thirty-one million, ninety-three thousand, six hundred thirty-two".