10403012000 has 192 divisors, whose sum is σ = 26392897440. Its totient is φ = 4027392000.

The previous prime is 10403011991. The next prime is 10403012003. The reversal of 10403012000 is 21030401.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1678704784 + 8724307216 = 40972^2 + 93404^2 .

It is not an unprimeable number, because it can be changed into a prime (10403012003) 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, 37555862 + ... + 37556138.

Almost surely, 2^10403012000 is an apocalyptic number.

10403012000 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 10403012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13196448720).

10403012000 is an abundant number, since it is smaller than the sum of its proper divisors (15989885440).

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

10403012000 is a wasteful number, since it uses less digits than its factorization.

10403012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10403012000 its reverse (21030401), we get a palindrome (10424042401).

The spelling of 10403012000 in words is "ten billion, four hundred three million, twelve thousand".