151012020000 has 960 divisors, whose sum is σ = 564211194624. Its totient is φ = 35143680000.

The previous prime is 151012019971. The next prime is 151012020013. The reversal of 151012020000 is 20210151.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 961859922 + ... + 961860078.

Almost surely, 2^151012020000 is an apocalyptic number.

151012020000 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 151012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282105597312).

151012020000 is an abundant number, since it is smaller than the sum of its proper divisors (413199174624).

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

151012020000 is a wasteful number, since it uses less digits than its factorization.

151012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 151012020000 its reverse (20210151), we get a palindrome (151032230151).

The spelling of 151012020000 in words is "one hundred fifty-one billion, twelve million, twenty thousand".