1164242265120 has 144 divisors (see below), whose sum is σ = 4334156491392. Its totient is φ = 282240545280.

The previous prime is 1164242265107. The next prime is 1164242265133. The reversal of 1164242265120 is 215622424611.

1164242265120 is a `hidden beast` number, since 1 + 1 + 6 + 424 + 226 + 5 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1164242265107) and next prime (1164242265133).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1164242265120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36734232 + ... + 36765911.

It is an arithmetic number, because the mean of its divisors is an integer number (30098308968).

Almost surely, 2^{1164242265120} is an apocalyptic number.

1164242265120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1164242265120 is an abundant number, since it is smaller than the sum of its proper divisors (3169914226272).

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

1164242265120 is a wasteful number, since it uses less digits than its factorization.

1164242265120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73500175 (or 73500164 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1164242265120 its reverse (215622424611), we get a palindrome (1379864689731).

The spelling of 1164242265120 in words is "one trillion, one hundred sixty-four billion, two hundred forty-two million, two hundred sixty-five thousand, one hundred twenty".