630133740120 has 128 divisors (see below), whose sum is σ = 1903642041600. Its totient is φ = 166862547456.

The previous prime is 630133740113. The next prime is 630133740121. The reversal of 630133740120 is 21047331036.

630133740120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×630133740120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630133740121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10566627 + ... + 10626093.

It is an arithmetic number, because the mean of its divisors is an integer number (14872203450).

Almost surely, 2^630133740120 is an apocalyptic number.

630133740120 is a gapful number since it is divisible by the number (60) 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 630133740120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951821020800).

630133740120 is an abundant number, since it is smaller than the sum of its proper divisors (1273508301480).

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

630133740120 is a wasteful number, since it uses less digits than its factorization.

630133740120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60097 (or 60093 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 630133740120 in words is "six hundred thirty billion, one hundred thirty-three million, seven hundred forty thousand, one hundred twenty".