21142000 has 120 divisors (see below), whose sum is σ = 57625776. Its totient is φ = 7440000.

The previous prime is 21141973. The next prime is 21142021. The reversal of 21142000 is 24112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681985 + ... + 682015.

Almost surely, 2^21142000 is an apocalyptic number.

21142000 is a gapful number since it is divisible by the number (20) 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 21142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28812888).

21142000 is an abundant number, since it is smaller than the sum of its proper divisors (36483776).

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

21142000 is a wasteful number, since it uses less digits than its factorization.

21142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 21142000 is about 4598.0430619993. The cubic root of 21142000 is about 276.5128739944.

Adding to 21142000 its reverse (24112), we get a palindrome (21166112).

It can be divided in two parts, 2114 and 2000, that added together give a palindrome (4114).

The spelling of 21142000 in words is "twenty-one million, one hundred forty-two thousand".