214012000 has 48 divisors (see below), whose sum is σ = 525837312. Its totient is φ = 85603200.

The previous prime is 214011979. The next prime is 214012037. The reversal of 214012000 is 210412.

It is a super-2 number, since 2×214012000² = 91602272288000000, which contains 22 as substring.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22752 + ... + 30751.

It is an arithmetic number, because the mean of its divisors is an integer number (10954944).

Almost surely, 2^214012000 is an apocalyptic number.

214012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214012000 is an abundant number, since it is smaller than the sum of its proper divisors (311825312).

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

214012000 is an equidigital number, since it uses as much as digits as its factorization.

214012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53528 (or 53510 counting only the distinct ones).

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

The square root of 214012000 is about 14629.1489841344. The cubic root of 214012000 is about 598.1535829950.

Adding to 214012000 its reverse (210412), we get a palindrome (214222412).

The spelling of 214012000 in words is "two hundred fourteen million, twelve thousand".