212126040 has 320 divisors, whose sum is σ = 836352000. Its totient is φ = 47215872.

The previous prime is 212126021. The next prime is 212126077. The reversal of 212126040 is 40621212.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1065861 + ... + 1066059.

It is an arithmetic number, because the mean of its divisors is an integer number (2613600).

Almost surely, 2^212126040 is an apocalyptic number.

212126040 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 212126040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418176000).

212126040 is an abundant number, since it is smaller than the sum of its proper divisors (624225960).

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

212126040 is a wasteful number, since it uses less digits than its factorization.

212126040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212126040 is about 14564.5473668082. The cubic root of 212126040 is about 596.3913394611.

Adding to 212126040 its reverse (40621212), we get a palindrome (252747252).

The spelling of 212126040 in words is "two hundred twelve million, one hundred twenty-six thousand, forty".