120115150400 has 126 divisors (see below), whose sum is σ = 343812989538. Its totient is φ = 41182310400.

The previous prime is 120115150391. The next prime is 120115150409. The reversal of 120115150400 is 4051511021.

It is an interprime number because it is at equal distance from previous prime (120115150391) and next prime (120115150409).

It can be written as a sum of positive squares in 3 ways, for example, as 25009524736 + 95105625664 = 158144^2 + 308392^2 .

It is a super-2 number, since 2×120115150400² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120115150409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 687641 + ... + 844440.

Almost surely, 2^120115150400 is an apocalyptic number.

120115150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120115150400 is an abundant number, since it is smaller than the sum of its proper divisors (223697839138).

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

120115150400 is a wasteful number, since it uses less digits than its factorization.

120115150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532117 (or 1532095 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 120115150400 its reverse (4051511021), we get a palindrome (124166661421).

The spelling of 120115150400 in words is "one hundred twenty billion, one hundred fifteen million, one hundred fifty thousand, four hundred".