120003186900000 has 288 divisors, whose sum is σ = 394774509689280. Its totient is φ = 31916384640000.

The previous prime is 120003186899993. The next prime is 120003186900007. The reversal of 120003186900000 is 9681300021.

It is an interprime number because it is at equal distance from previous prime (120003186899993) and next prime (120003186900007).

It is a super-2 number, since 2×120003186900000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120003186900007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113172282 + ... + 114227718.

It is an arithmetic number, because the mean of its divisors is an integer number (1370744825310).

Almost surely, 2^{120003186900000} is an apocalyptic number.

120003186900000 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 120003186900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197387254844640).

120003186900000 is an abundant number, since it is smaller than the sum of its proper divisors (274771322789280).

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

120003186900000 is an equidigital number, since it uses as much as digits as its factorization.

120003186900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055854 (or 1055826 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 120003186900000 in words is "one hundred twenty trillion, three billion, one hundred eighty-six million, nine hundred thousand".