1140121752 has 192 divisors, whose sum is σ = 3752697600. Its totient is φ = 280385280.

The previous prime is 1140121739. The next prime is 1140121757. The reversal of 1140121752 is 2571210411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140121757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666274 + ... + 667982.

It is an arithmetic number, because the mean of its divisors is an integer number (19545300).

Almost surely, 2^1140121752 is an apocalyptic number.

1140121752 is a gapful number since it is divisible by the number (12) 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 1140121752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876348800).

1140121752 is an abundant number, since it is smaller than the sum of its proper divisors (2612575848).

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

1140121752 is a wasteful number, since it uses less digits than its factorization.

1140121752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 1140121752 is about 33765.6889756451. The cubic root of 1140121752 is about 1044.6811148223.

It can be divided in two parts, 11401 and 21752, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 1140121752 in words is "one billion, one hundred forty million, one hundred twenty-one thousand, seven hundred fifty-two".