1201120103040 has 512 divisors, whose sum is σ = 4503649248000. Its totient is φ = 268438732800.

The previous prime is 1201120103033. The next prime is 1201120103047. The reversal of 1201120103040 is 403010211021.

It is an interprime number because it is at equal distance from previous prime (1201120103033) and next prime (1201120103047).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1201120103047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258358636 + ... + 258363284.

Almost surely, 2^{1201120103040} is an apocalyptic number.

1201120103040 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 1201120103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251824624000).

1201120103040 is an abundant number, since it is smaller than the sum of its proper divisors (3302529144960).

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

1201120103040 is a wasteful number, since it uses less digits than its factorization.

1201120103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1201120103040 its reverse (403010211021), we get a palindrome (1604130314061).

The spelling of 1201120103040 in words is "one trillion, two hundred one billion, one hundred twenty million, one hundred three thousand, forty".