120303503769600 has 1152 divisors, whose sum is σ = 448061195946000. Its totient is φ = 32042235985920.

The previous prime is 120303503769557. The next prime is 120303503769613. The reversal of 120303503769600 is 6967305303021.

120303503769600 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 0 + 3 + 5 + 0 + 37 + 6 + 9 + 600 = 666.

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

It is a super-2 number, since 2×120303503769600² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145118821986 + ... + 145118822814.

Almost surely, 2^{120303503769600} is an apocalyptic number.

120303503769600 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 120303503769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224030597973000).

120303503769600 is an abundant number, since it is smaller than the sum of its proper divisors (327757692176400).

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

120303503769600 is an frugal number, since it uses more digits than its factorization.

120303503769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 120303503769600 in words is "one hundred twenty trillion, three hundred three billion, five hundred three million, seven hundred sixty-nine thousand, six hundred".