103012331220 has 144 divisors (see below), whose sum is σ = 321148747920. Its totient is φ = 26708133888.

The previous prime is 103012331159. The next prime is 103012331221. The reversal of 103012331220 is 22133210301.

103012331220 is a `hidden beast` number, since 10 + 301 + 2 + 331 + 2 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 56764968516 + 46247362704 = 238254^2 + 215052^2 .

It is a super-2 number, since 2×103012331220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103012331193 and 103012331202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103012331221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10711134 + ... + 10720746.

Almost surely, 2^103012331220 is an apocalyptic number.

103012331220 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 103012331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160574373960).

103012331220 is an abundant number, since it is smaller than the sum of its proper divisors (218136416700).

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

103012331220 is a wasteful number, since it uses less digits than its factorization.

103012331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11274 (or 11269 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103012331220 its reverse (22133210301), we get a palindrome (125145541521).

The spelling of 103012331220 in words is "one hundred three billion, twelve million, three hundred thirty-one thousand, two hundred twenty".