10412611230000 has 1200 divisors, whose sum is σ = 41731133262720. Its totient is φ = 2223438336000.

The previous prime is 10412611229957. The next prime is 10412611230011. The reversal of 10412611230000 is 3211621401.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×10412611230000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2038887447 + ... + 2038892553.

Almost surely, 2^{10412611230000} is an apocalyptic number.

10412611230000 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 10412611230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865566631360).

10412611230000 is an abundant number, since it is smaller than the sum of its proper divisors (31318522032720).

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

10412611230000 is a wasteful number, since it uses less digits than its factorization.

10412611230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10412611230000 its reverse (3211621401), we get a palindrome (10415822851401).

The spelling of 10412611230000 in words is "ten trillion, four hundred twelve billion, six hundred eleven million, two hundred thirty thousand".