1230240440000 has 280 divisors, whose sum is σ = 3583934186448. Its totient is φ = 412945920000.

The previous prime is 1230240439997. The next prime is 1230240440021. The reversal of 1230240440000 is 440420321.

It is a super-2 number, since 2×1230240440000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5612462 + ... + 5827538.

Almost surely, 2^{1230240440000} is an apocalyptic number.

1230240440000 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 1230240440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791967093224).

1230240440000 is an abundant number, since it is smaller than the sum of its proper divisors (2353693746448).

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

1230240440000 is a wasteful number, since it uses less digits than its factorization.

1230240440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215133 (or 215108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1230240440000 its reverse (440420321), we get a palindrome (1230680860321).

The spelling of 1230240440000 in words is "one trillion, two hundred thirty billion, two hundred forty million, four hundred forty thousand".