212020292820 has 768 divisors, whose sum is σ = 765938073600. Its totient is φ = 42732748800.

The previous prime is 212020292819. The next prime is 212020292833. The reversal of 212020292820 is 28292020212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1098550644 + ... + 1098550836.

It is an arithmetic number, because the mean of its divisors is an integer number (997315200).

Almost surely, 2^212020292820 is an apocalyptic number.

212020292820 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 212020292820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382969036800).

212020292820 is an abundant number, since it is smaller than the sum of its proper divisors (553917780780).

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

212020292820 is a wasteful number, since it uses less digits than its factorization.

212020292820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 212020292820 in words is "two hundred twelve billion, twenty million, two hundred ninety-two thousand, eight hundred twenty".