7212126000 has 320 divisors, whose sum is σ = 24292195200. Its totient is φ = 1838592000.

The previous prime is 7212125933. The next prime is 7212126017. The reversal of 7212126000 is 6212127.

It is a super-2 number, since 2×7212126000² (a number of 21 digits) contains 22 as substring.

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, 31493886 + ... + 31494114.

It is an arithmetic number, because the mean of its divisors is an integer number (75913110).

Almost surely, 2^7212126000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7212126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146097600).

7212126000 is an abundant number, since it is smaller than the sum of its proper divisors (17080069200).

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

7212126000 is a wasteful number, since it uses less digits than its factorization.

7212126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 7212126000 is about 84924.2368231826. The cubic root of 7212126000 is about 1932.0621912433.

Adding to 7212126000 its reverse (6212127), we get a palindrome (7218338127).

The spelling of 7212126000 in words is "seven billion, two hundred twelve million, one hundred twenty-six thousand".