121670023829760 has 1152 divisors, whose sum is σ = 522677441986560. Its totient is φ = 26163770425344.

The previous prime is 121670023829713. The next prime is 121670023829789. The reversal of 121670023829760 is 67928320076121.

It is a happy number.

121670023829760 is a `hidden beast` number, since 1 + 2 + 1 + 67 + 0 + 0 + 238 + 297 + 60 = 666.

121670023829760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 121670023829697 and 121670023829706.

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, 14242068049 + ... + 14242076591.

It is an arithmetic number, because the mean of its divisors is an integer number (453713057280).

Almost surely, 2^{121670023829760} is an apocalyptic number.

121670023829760 is a gapful number since it is divisible by the number (10) 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 121670023829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261338720993280).

121670023829760 is an abundant number, since it is smaller than the sum of its proper divisors (401007418156800).

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

121670023829760 is a wasteful number, since it uses less digits than its factorization.

121670023829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12060 (or 12040 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 121670023829760 in words is "one hundred twenty-one trillion, six hundred seventy billion, twenty-three million, eight hundred twenty-nine thousand, seven hundred sixty".