212212430040 has 256 divisors, whose sum is σ = 729158008320. Its totient is φ = 48946176000.

The previous prime is 212212430033. The next prime is 212212430063. The reversal of 212212430040 is 40034212212.

It is a junction number, because it is equal to n+sod(n) for n = 212212429989 and 212212430016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6002415 + ... + 6037665.

It is an arithmetic number, because the mean of its divisors is an integer number (2848273470).

Almost surely, 2^212212430040 is an apocalyptic number.

212212430040 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 212212430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364579004160).

212212430040 is an abundant number, since it is smaller than the sum of its proper divisors (516945578280).

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

212212430040 is a wasteful number, since it uses less digits than its factorization.

212212430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35522 (or 35518 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 212212430040 its reverse (40034212212), we get a palindrome (252246642252).

The spelling of 212212430040 in words is "two hundred twelve billion, two hundred twelve million, four hundred thirty thousand, forty".