120151104000 has 640 divisors, whose sum is σ = 427716267264. Its totient is φ = 29818880000.

The previous prime is 120151103999. The next prime is 120151104001. The reversal of 120151104000 is 401151021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120151103999) and next prime (120151104001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (120151104001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 427583860 + ... + 427584140.

Almost surely, 2^120151104000 is an apocalyptic number.

120151104000 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 120151104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213858133632).

120151104000 is an abundant number, since it is smaller than the sum of its proper divisors (307565163264).

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

120151104000 is a wasteful number, since it uses less digits than its factorization.

120151104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 120151104000 its reverse (401151021), we get a palindrome (120552255021).

The spelling of 120151104000 in words is "one hundred twenty billion, one hundred fifty-one million, one hundred four thousand".