120120000000 has 1280 divisors, whose sum is σ = 537073625088. Its totient is φ = 23040000000.

The previous prime is 120119999983. The next prime is 120120000017. The reversal of 120120000000 is 21021.

It is a happy number.

120120000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120119999983) and next prime (120120000017).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 6500 × 3300 × 5600.

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, 9239999994 + ... + 9240000006.

Almost surely, 2^120120000000 is an apocalyptic number.

120120000000 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 120120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268536812544).

120120000000 is an abundant number, since it is smaller than the sum of its proper divisors (416953625088).

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

120120000000 is an frugal number, since it uses more digits than its factorization.

120120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 120120000000 its reverse (21021), we get a palindrome (120120021021).

It can be divided in two parts, 120 and 120000000, that multiplied together give a square (14400000000 = 120000²).

The spelling of 120120000000 in words is "one hundred twenty billion, one hundred twenty million", and thus it is an aban number.