851217120 has 384 divisors, whose sum is σ = 3353011200. Its totient is φ = 200116224.

The previous prime is 851217109. The next prime is 851217151. The reversal of 851217120 is 21712158.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1291351 + ... + 1292009.

It is an arithmetic number, because the mean of its divisors is an integer number (8731800).

Almost surely, 2^851217120 is an apocalyptic number.

851217120 is a gapful number since it is divisible by the number (80) 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 851217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676505600).

851217120 is an abundant number, since it is smaller than the sum of its proper divisors (2501794080).

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

851217120 is a wasteful number, since it uses less digits than its factorization.

851217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 851217120 is about 29175.6254431675. The cubic root of 851217120 is about 947.7201545405.

Adding to 851217120 its reverse (21712158), we get a palindrome (872929278).

The spelling of 851217120 in words is "eight hundred fifty-one million, two hundred seventeen thousand, one hundred twenty".