120103301000 has 64 divisors (see below), whose sum is σ = 281710269360. Its totient is φ = 47927040000.

The previous prime is 120103300997. The next prime is 120103301041. The reversal of 120103301000 is 103301021.

It can be written as a sum of positive squares in 8 ways, for example, as 24019420324 + 96083880676 = 154982^2 + 309974^2 .

It is a super-3 number, since 3×120103301000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278360 + ... + 563640.

Almost surely, 2^120103301000 is an apocalyptic number.

120103301000 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 120103301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140855134680).

120103301000 is an abundant number, since it is smaller than the sum of its proper divisors (161606968360).

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

120103301000 is a wasteful number, since it uses less digits than its factorization.

120103301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285723 (or 285709 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 120103301000 its reverse (103301021), we get a palindrome (120206602021).

The spelling of 120103301000 in words is "one hundred twenty billion, one hundred three million, three hundred one thousand".