11921000 has 128 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 3744000.

The previous prime is 11920991. The next prime is 11921017. The reversal of 11921000 is 12911.

It is a super-2 number, since 2×11921000² = 284220482000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 90935 + ... + 91065.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 2^11921000 is an apocalyptic number.

11921000 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 11921000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

11921000 is an abundant number, since it is smaller than the sum of its proper divisors (22673560).

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

11921000 is a wasteful number, since it uses less digits than its factorization.

11921000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 11921000 is about 3452.6801184008. The cubic root of 11921000 is about 228.4393396045.

Adding to 11921000 its reverse (12911), we get a palindrome (11933911).

The spelling of 11921000 in words is "eleven million, nine hundred twenty-one thousand".