152121401120 has 96 divisors (see below), whose sum is σ = 387433268208. Its totient is φ = 56109662208.

The previous prime is 152121401119. The next prime is 152121401123. The reversal of 152121401120 is 21104121251.

It can be written as a sum of positive squares in 8 ways, for example, as 39335582224 + 112785818896 = 198332^2 + 335836^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152121401092 and 152121401101.

It is not an unprimeable number, because it can be changed into a prime (152121401123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1994732 + ... + 2069588.

Almost surely, 2^152121401120 is an apocalyptic number.

152121401120 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 152121401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193716634104).

152121401120 is an abundant number, since it is smaller than the sum of its proper divisors (235311867088).

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

152121401120 is a wasteful number, since it uses less digits than its factorization.

152121401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75862 (or 75854 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 152121401120 its reverse (21104121251), we get a palindrome (173225522371).

The spelling of 152121401120 in words is "one hundred fifty-two billion, one hundred twenty-one million, four hundred one thousand, one hundred twenty".