1232510002400 has 144 divisors (see below), whose sum is σ = 3031757517600. Its totient is φ = 489265920000.

The previous prime is 1232510002393. The next prime is 1232510002501. The reversal of 1232510002400 is 42000152321.

It is a super-3 number, since 3×1232510002400³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

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, 63192650 + ... + 63212150.

It is an arithmetic number, because the mean of its divisors is an integer number (21053871650).

Almost surely, 2^{1232510002400} is an apocalyptic number.

1232510002400 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 1232510002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515878758800).

1232510002400 is an abundant number, since it is smaller than the sum of its proper divisors (1799247515200).

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

1232510002400 is a wasteful number, since it uses less digits than its factorization.

1232510002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20117 (or 20104 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1232510002400 its reverse (42000152321), we get a palindrome (1274510154721).

The spelling of 1232510002400 in words is "one trillion, two hundred thirty-two billion, five hundred ten million, two thousand, four hundred".