212751000 has 384 divisors, whose sum is σ = 899458560. Its totient is φ = 44064000.

The previous prime is 212750969. The next prime is 212751031. The reversal of 212751000 is 157212.

It is an interprime number because it is at equal distance from previous prime (212750969) and next prime (212751031).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 692847 + ... + 693153.

It is an arithmetic number, because the mean of its divisors is an integer number (2342340).

Almost surely, 2^212751000 is an apocalyptic number.

212751000 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 212751000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449729280).

212751000 is an abundant number, since it is smaller than the sum of its proper divisors (686707560).

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

212751000 is a wasteful number, since it uses less digits than its factorization.

212751000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 212751000 is about 14585.9864253330. The cubic root of 212751000 is about 596.9764558950.

The spelling of 212751000 in words is "two hundred twelve million, seven hundred fifty-one thousand".