212790067200 has 720 divisors, whose sum is σ = 795719070720. Its totient is φ = 55738368000.

The previous prime is 212790067183. The next prime is 212790067207. The reversal of 212790067200 is 2760097212.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×212790067200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212790067207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785203065 + ... + 785203335.

It is an arithmetic number, because the mean of its divisors is an integer number (1105165376).

Almost surely, 2^212790067200 is an apocalyptic number.

212790067200 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 212790067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397859535360).

212790067200 is an abundant number, since it is smaller than the sum of its proper divisors (582929003520).

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

212790067200 is an equidigital number, since it uses as much as digits as its factorization.

212790067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 212790067200 in words is "two hundred twelve billion, seven hundred ninety million, sixty-seven thousand, two hundred".