7201869207120 has 640 divisors, whose sum is σ = 29626187612160. Its totient is φ = 1593031795200.

The previous prime is 7201869207107. The next prime is 7201869207167. The reversal of 7201869207120 is 217029681027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37871475 + ... + 38061165.

It is an arithmetic number, because the mean of its divisors is an integer number (46290918144).

Almost surely, 2^{7201869207120} is an apocalyptic number.

7201869207120 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 7201869207120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813093806080).

7201869207120 is an abundant number, since it is smaller than the sum of its proper divisors (22424318405040).

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

7201869207120 is a wasteful number, since it uses less digits than its factorization.

7201869207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189763 (or 189739 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 7201869207120 in words is "seven trillion, two hundred one billion, eight hundred sixty-nine million, two hundred seven thousand, one hundred twenty".