7102985120 has 288 divisors, whose sum is σ = 22227198336. Its totient is φ = 2117068800.

The previous prime is 7102985093. The next prime is 7102985129. The reversal of 7102985120 is 215892017.

It is a super-2 number, since 2×7102985120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (7102985129) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1981730 + ... + 1985310.

It is an arithmetic number, because the mean of its divisors is an integer number (77177772).

Almost surely, 2^7102985120 is an apocalyptic number.

7102985120 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 7102985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113599168).

7102985120 is an abundant number, since it is smaller than the sum of its proper divisors (15124213216).

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

7102985120 is a wasteful number, since it uses less digits than its factorization.

7102985120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 7102985120 is about 84279.2092986165. The cubic root of 7102985120 is about 1922.2666661935.

The spelling of 7102985120 in words is "seven billion, one hundred two million, nine hundred eighty-five thousand, one hundred twenty".