120430033332000 has 768 divisors, whose sum is σ = 459981550199808. Its totient is φ = 26976640204800.

The previous prime is 120430033331989. The next prime is 120430033332013. The reversal of 120430033332000 is 233330034021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 962661454 + ... + 962786546.

It is an arithmetic number, because the mean of its divisors is an integer number (598934310156).

Almost surely, 2^{120430033332000} is an apocalyptic number.

120430033332000 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 120430033332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229990775099904).

120430033332000 is an abundant number, since it is smaller than the sum of its proper divisors (339551516867808).

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

120430033332000 is a wasteful number, since it uses less digits than its factorization.

120430033332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125358 (or 125340 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 120430033332000 its reverse (233330034021), we get a palindrome (120663363366021).

The spelling of 120430033332000 in words is "one hundred twenty trillion, four hundred thirty billion, thirty-three million, three hundred thirty-two thousand".