820417507212 has 24 divisors (see below), whose sum is σ = 1917744350256. Its totient is φ = 272981526208.

The previous prime is 820417507211. The next prime is 820417507213. The reversal of 820417507212 is 212705714028.

It is an interprime number because it is at equal distance from previous prime (820417507211) and next prime (820417507213).

It is a super-2 number, since 2×820417507212² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820417507211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61365063 + ... + 61378430.

It is an arithmetic number, because the mean of its divisors is an integer number (79906014594).

Almost surely, 2^820417507212 is an apocalyptic number.

It is an amenable number.

820417507212 is an abundant number, since it is smaller than the sum of its proper divisors (1097326843044).

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

820417507212 is a wasteful number, since it uses less digits than its factorization.

820417507212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122744057 (or 122744055 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 820417507212 in words is "eight hundred twenty billion, four hundred seventeen million, five hundred seven thousand, two hundred twelve".