120434523660000 has 1440 divisors, whose sum is σ = 496236234574080. Its totient is φ = 27390182400000.

The previous prime is 120434523659987. The next prime is 120434523660013. The reversal of 120434523660000 is 66325434021.

120434523660000 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 3 + 45 + 2 + 3 + 6 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120434523659987) and next prime (120434523660013).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×120434523660000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3874844460 + ... + 3874875540.

It is an arithmetic number, because the mean of its divisors is an integer number (344608496232).

Almost surely, 2^{120434523660000} is an apocalyptic number.

120434523660000 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 120434523660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248118117287040).

120434523660000 is an abundant number, since it is smaller than the sum of its proper divisors (375801710914080).

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

120434523660000 is a wasteful number, since it uses less digits than its factorization.

120434523660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31250 (or 31224 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 120434523660000 in words is "one hundred twenty trillion, four hundred thirty-four billion, five hundred twenty-three million, six hundred sixty thousand".