121069485032832 has 1024 divisors, whose sum is σ = 446288652288000. Its totient is φ = 31526589726720.

The previous prime is 121069485032819. The next prime is 121069485032927. The reversal of 121069485032832 is 238230584960121.

121069485032832 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 69 + 48 + 503 + 2 + 8 + 32 = 666.

It is a super-2 number, since 2×121069485032832² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 1625689357 + ... + 1625763827.

It is an arithmetic number, because the mean of its divisors is an integer number (435828762000).

Almost surely, 2^{121069485032832} is an apocalyptic number.

121069485032832 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 121069485032832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223144326144000).

121069485032832 is an abundant number, since it is smaller than the sum of its proper divisors (325219167255168).

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

121069485032832 is a wasteful number, since it uses less digits than its factorization.

121069485032832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74644 (or 74626 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 121069485032832 in words is "one hundred twenty-one trillion, sixty-nine billion, four hundred eighty-five million, thirty-two thousand, eight hundred thirty-two".