151253222120 has 384 divisors, whose sum is σ = 486497975040. Its totient is φ = 40955166720.

The previous prime is 151253222089. The next prime is 151253222147. The reversal of 151253222120 is 21222352151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 151253222120.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8840294 + ... + 8857386.

It is an arithmetic number, because the mean of its divisors is an integer number (1266921810).

Almost surely, 2^151253222120 is an apocalyptic number.

151253222120 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 151253222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243248987520).

151253222120 is an abundant number, since it is smaller than the sum of its proper divisors (335244752920).

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

151253222120 is a wasteful number, since it uses less digits than its factorization.

151253222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17165 (or 17148 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 151253222120 its reverse (21222352151), we get a palindrome (172475574271).

It can be divided in two parts, 151253 and 222120, that added together give a palindrome (373373).

The spelling of 151253222120 in words is "one hundred fifty-one billion, two hundred fifty-three million, two hundred twenty-two thousand, one hundred twenty".