121602838097664 has 2016 divisors, whose sum is σ = 486578803415040. Its totient is φ = 29346250752000.

The previous prime is 121602838097639. The next prime is 121602838097701. The reversal of 121602838097664 is 466790838206121.

121602838097664 is a `hidden beast` number, since 1 + 2 + 160 + 2 + 8 + 380 + 97 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 19298971314 + ... + 19298977614.

It is an arithmetic number, because the mean of its divisors is an integer number (241358533440).

Almost surely, 2^{121602838097664} is an apocalyptic number.

121602838097664 is a gapful number since it is divisible by the number (14) 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 121602838097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243289401707520).

121602838097664 is an abundant number, since it is smaller than the sum of its proper divisors (364975965317376).

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

121602838097664 is an equidigital number, since it uses as much as digits as its factorization.

121602838097664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6449 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 121602838097664 in words is "one hundred twenty-one trillion, six hundred two billion, eight hundred thirty-eight million, ninety-seven thousand, six hundred sixty-four".