120830644771200 has 3840 divisors, whose sum is σ = 580900759971840. Its totient is φ = 24034384281600.

The previous prime is 120830644771169. The next prime is 120830644771201. The reversal of 120830644771200 is 2177446038021.

120830644771200 is a `hidden beast` number, since 1 + 2 + 0 + 83 + 0 + 6 + 447 + 7 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120830644771201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 38517896032 + ... + 38517899168.

It is an arithmetic number, because the mean of its divisors is an integer number (151276239576).

Almost surely, 2^{120830644771200} is an apocalyptic number.

120830644771200 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 120830644771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290450379985920).

120830644771200 is an abundant number, since it is smaller than the sum of its proper divisors (460070115200640).

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

120830644771200 is a wasteful number, since it uses less digits than its factorization.

120830644771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 120830644771200 in words is "one hundred twenty trillion, eight hundred thirty billion, six hundred forty-four million, seven hundred seventy-one thousand, two hundred".