212151240 has 192 divisors, whose sum is σ = 815443200. Its totient is φ = 46803456.

The previous prime is 212151239. The next prime is 212151257. The reversal of 212151240 is 42151212.

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

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 47 ways as a sum of consecutive naturals, for example, 71629 + ... + 74531.

It is an arithmetic number, because the mean of its divisors is an integer number (4247100).

Almost surely, 2^212151240 is an apocalyptic number.

212151240 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 212151240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407721600).

212151240 is an abundant number, since it is smaller than the sum of its proper divisors (603291960).

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

212151240 is a wasteful number, since it uses less digits than its factorization.

212151240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212151240 is about 14565.4124555400. The cubic root of 212151240 is about 596.4149550855.

It can be divided in two parts, 2121 and 51240, that added together give a square (53361 = 231²).

The spelling of 212151240 in words is "two hundred twelve million, one hundred fifty-one thousand, two hundred forty".