1314122020 has 48 divisors (see below), whose sum is σ = 2894911488. Its totient is φ = 500128640.

The previous prime is 1314121993. The next prime is 1314122027. The reversal of 1314122020 is 202214131.

It is a junction number, because it is equal to n+sod(n) for n = 1314121985 and 1314122003.

It is not an unprimeable number, because it can be changed into a prime (1314122027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80382 + ... + 95338.

It is an arithmetic number, because the mean of its divisors is an integer number (60310656).

Almost surely, 2^1314122020 is an apocalyptic number.

1314122020 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 1314122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447455744).

1314122020 is an abundant number, since it is smaller than the sum of its proper divisors (1580789468).

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

1314122020 is a wasteful number, since it uses less digits than its factorization.

1314122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15180 (or 15178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1314122020 is about 36250.8209562211. The cubic root of 1314122020 is about 1095.3306258194.

Adding to 1314122020 its reverse (202214131), we get a palindrome (1516336151).

The spelling of 1314122020 in words is "one billion, three hundred fourteen million, one hundred twenty-two thousand, twenty".