212011202040 has 128 divisors (see below), whose sum is σ = 694480849920. Its totient is φ = 51350284800.

The previous prime is 212011201937. The next prime is 212011202041. The reversal of 212011202040 is 40202110212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011202041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402545 + ... + 1546335.

It is an arithmetic number, because the mean of its divisors is an integer number (5425631640).

Almost surely, 2^212011202040 is an apocalyptic number.

212011202040 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 212011202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347240424960).

212011202040 is an abundant number, since it is smaller than the sum of its proper divisors (482469647880).

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

212011202040 is a wasteful number, since it uses less digits than its factorization.

212011202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144933 (or 144929 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212011202040 its reverse (40202110212), we get a palindrome (252213312252).

The spelling of 212011202040 in words is "two hundred twelve billion, eleven million, two hundred two thousand, forty".