10344012000 has 192 divisors, whose sum is σ = 38728295424. Its totient is φ = 2364326400.

The previous prime is 10344011989. The next prime is 10344012023. The reversal of 10344012000 is 21044301.

It is a super-2 number, since 2×10344012000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22429 + ... + 145571.

It is an arithmetic number, because the mean of its divisors is an integer number (201709872).

Almost surely, 2^10344012000 is an apocalyptic number.

10344012000 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 10344012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19364147712).

10344012000 is an abundant number, since it is smaller than the sum of its proper divisors (28384283424).

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

10344012000 is a wasteful number, since it uses less digits than its factorization.

10344012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123178 (or 123160 counting only the distinct ones).

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

Adding to 10344012000 its reverse (21044301), we get a palindrome (10365056301).

It can be divided in two parts, 103440 and 12000, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 10344012000 in words is "ten billion, three hundred forty-four million, twelve thousand".