7812212198000 has 480 divisors, whose sum is σ = 23561498039040. Its totient is φ = 2488963276800.

The previous prime is 7812212197997. The next prime is 7812212198059. The reversal of 7812212198000 is 8912122187.

It is a super-2 number, since 2×7812212198000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131584322 + ... + 131643678.

It is an arithmetic number, because the mean of its divisors is an integer number (49086454248).

Almost surely, 2^{7812212198000} is an apocalyptic number.

7812212198000 is a gapful number since it is divisible by the number (70) 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 7812212198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780749019520).

7812212198000 is an abundant number, since it is smaller than the sum of its proper divisors (15749285841040).

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

7812212198000 is a wasteful number, since it uses less digits than its factorization.

7812212198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59490 (or 59467 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 41.

The spelling of 7812212198000 in words is "seven trillion, eight hundred twelve billion, two hundred twelve million, one hundred ninety-eight thousand".