1201113000 has 192 divisors, whose sum is σ = 4082242320. Its totient is φ = 318528000.

The previous prime is 1201112963. The next prime is 1201113031. The reversal of 1201113000 is 3111021.

It can be written as a sum of positive squares in 8 ways, for example, as 228795876 + 972317124 = 15126^2 + 31182^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2852790 + ... + 2853210.

Almost surely, 2^1201113000 is an apocalyptic number.

1201113000 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 1201113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041121160).

1201113000 is an abundant number, since it is smaller than the sum of its proper divisors (2881129320).

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

1201113000 is a wasteful number, since it uses less digits than its factorization.

1201113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1201113000 is about 34657.0771993254. The cubic root of 1201113000 is about 1062.9870062694.

Adding to 1201113000 its reverse (3111021), we get a palindrome (1204224021).

The spelling of 1201113000 in words is "one billion, two hundred one million, one hundred thirteen thousand".