1162125120 has 448 divisors, whose sum is σ = 4352544000. Its totient is φ = 261660672.

The previous prime is 1162125113. The next prime is 1162125121. The reversal of 1162125120 is 215212611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1162125121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40073266 + ... + 40073294.

It is an arithmetic number, because the mean of its divisors is an integer number (9715500).

Almost surely, 2^1162125120 is an apocalyptic number.

1162125120 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 1162125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176272000).

1162125120 is an abundant number, since it is smaller than the sum of its proper divisors (3190418880).

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

1162125120 is a wasteful number, since it uses less digits than its factorization.

1162125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1162125120 is about 34089.9562921398. The cubic root of 1162125120 is about 1051.3588212687.

Adding to 1162125120 its reverse (215212611), we get a palindrome (1377337731).

The spelling of 1162125120 in words is "one billion, one hundred sixty-two million, one hundred twenty-five thousand, one hundred twenty".