1285119420 has 144 divisors (see below), whose sum is σ = 4117208928. Its totient is φ = 297676800.

The previous prime is 1285119373. The next prime is 1285119431. The reversal of 1285119420 is 249115821.

It is a super-2 number, since 2×1285119420² = 3303063847322272800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222570 + ... + 228270.

Almost surely, 2^1285119420 is an apocalyptic number.

1285119420 is a gapful number since it is divisible by the number (10) 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 1285119420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058604464).

1285119420 is an abundant number, since it is smaller than the sum of its proper divisors (2832089508).

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

1285119420 is a wasteful number, since it uses less digits than its factorization.

1285119420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1285119420 is about 35848.5623142686. The cubic root of 1285119420 is about 1087.2126464988.

The spelling of 1285119420 in words is "one billion, two hundred eighty-five million, one hundred nineteen thousand, four hundred twenty".