11919000 has 128 divisors (see below), whose sum is σ = 38750400. Its totient is φ = 3046400.

The previous prime is 11918993. The next prime is 11919007. The reversal of 11919000 is 91911.

It is an interprime number because it is at equal distance from previous prime (11918993) and next prime (11919007).

It is a super-2 number, since 2×11919000² = 284125122000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11919007) 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, 86932 + ... + 87068.

Almost surely, 2^11919000 is an apocalyptic number.

11919000 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 11919000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375200).

11919000 is an abundant number, since it is smaller than the sum of its proper divisors (26831400).

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

11919000 is a wasteful number, since it uses less digits than its factorization.

11919000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

The square root of 11919000 is about 3452.3904761773. The cubic root of 11919000 is about 228.4265637124.

The spelling of 11919000 in words is "eleven million, nine hundred nineteen thousand".