1241253888 has 384 divisors, whose sum is σ = 4193280000. Its totient is φ = 325140480.

The previous prime is 1241253883. The next prime is 1241253899. The reversal of 1241253888 is 8883521421.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1241253888² = 3081422428950233088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (122880) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (1241253883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40040433 + ... + 40040463.

It is an arithmetic number, because the mean of its divisors is an integer number (10920000).

Almost surely, 2^1241253888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241253888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096640000).

1241253888 is an abundant number, since it is smaller than the sum of its proper divisors (2952026112).

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

1241253888 is an equidigital number, since it uses as much as digits as its factorization.

1241253888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 62 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 1241253888 is about 35231.4332379482. The cubic root of 1241253888 is about 1074.6990722132.

The spelling of 1241253888 in words is "one billion, two hundred forty-one million, two hundred fifty-three thousand, eight hundred eighty-eight".