1230102024000 has 224 divisors, whose sum is σ = 4072269427200. Its totient is φ = 327181465600.

The previous prime is 1230102023989. The next prime is 1230102024001. The reversal of 1230102024000 is 4202010321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230102024001) 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, 9270121 + ... + 9401879.

Almost surely, 2^{1230102024000} is an apocalyptic number.

1230102024000 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 1230102024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036134713600).

1230102024000 is an abundant number, since it is smaller than the sum of its proper divisors (2842167403200).

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

1230102024000 is a wasteful number, since it uses less digits than its factorization.

1230102024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132178 (or 132158 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1230102024000 its reverse (4202010321), we get a palindrome (1234304034321).

The spelling of 1230102024000 in words is "one trillion, two hundred thirty billion, one hundred two million, twenty-four thousand".