11907126000 has 960 divisors, whose sum is σ = 53014321152. Its totient is φ = 2439360000.

The previous prime is 11907125977. The next prime is 11907126041. The reversal of 11907126000 is 62170911.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 167705965 + ... + 167706035.

Almost surely, 2^11907126000 is an apocalyptic number.

11907126000 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 11907126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26507160576).

11907126000 is an abundant number, since it is smaller than the sum of its proper divisors (41107195152).

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

11907126000 is a wasteful number, since it uses less digits than its factorization.

11907126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 11907126000 its reverse (62170911), we get a palindrome (11969296911).

The spelling of 11907126000 in words is "eleven billion, nine hundred seven million, one hundred twenty-six thousand".