10412233004000 has 192 divisors, whose sum is σ = 26505642369024. Its totient is φ = 4015656000000.

The previous prime is 10412233003987. The next prime is 10412233004053. The reversal of 10412233004000 is 40033221401.

It is a super-2 number, since 2×10412233004000² (a number of 27 digits) contains 22 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 31 ways as a sum of consecutive naturals, for example, 33449075 + ... + 33758925.

It is an arithmetic number, because the mean of its divisors is an integer number (138050220672).

Almost surely, 2^{10412233004000} is an apocalyptic number.

10412233004000 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 10412233004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13252821184512).

10412233004000 is an abundant number, since it is smaller than the sum of its proper divisors (16093409365024).

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

10412233004000 is a wasteful number, since it uses less digits than its factorization.

10412233004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310178 (or 310160 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10412233004000 its reverse (40033221401), we get a palindrome (10452266225401).

The spelling of 10412233004000 in words is "ten trillion, four hundred twelve billion, two hundred thirty-three million, four thousand".