121826462921856 has 1024 divisors, whose sum is σ = 457935413760000. Its totient is φ = 31608125337600.

The previous prime is 121826462921843. The next prime is 121826462921909. The reversal of 121826462921856 is 658129264628121.

121826462921856 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 2 + 6 + 462 + 92 + 1 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 121826462921793 and 121826462921802.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13000364851 + ... + 13000374221.

It is an arithmetic number, because the mean of its divisors is an integer number (447202552500).

Almost surely, 2^{121826462921856} is an apocalyptic number.

121826462921856 is a gapful number since it is divisible by the number (16) 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 121826462921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228967706880000).

121826462921856 is an abundant number, since it is smaller than the sum of its proper divisors (336108950838144).

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

121826462921856 is an equidigital number, since it uses as much as digits as its factorization.

121826462921856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10423 (or 10391 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 121826462921856 in words is "one hundred twenty-one trillion, eight hundred twenty-six billion, four hundred sixty-two million, nine hundred twenty-one thousand, eight hundred fifty-six".