1201001101120 has 112 divisors (see below), whose sum is σ = 2879207856000. Its totient is φ = 477158856704.

The previous prime is 1201001101087. The next prime is 1201001101129. The reversal of 1201001101120 is 211011001021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1201001101097 and 1201001101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201001101129) 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, 76251006 + ... + 76266754.

It is an arithmetic number, because the mean of its divisors is an integer number (25707213000).

Almost surely, 2^{1201001101120} is an apocalyptic number.

1201001101120 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 1201001101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439603928000).

1201001101120 is an abundant number, since it is smaller than the sum of its proper divisors (1678206754880).

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

1201001101120 is a wasteful number, since it uses less digits than its factorization.

1201001101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17360 (or 17350 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1201001101120 its reverse (211011001021), we get a palindrome (1412012102141).

The spelling of 1201001101120 in words is "one trillion, two hundred one billion, one million, one hundred one thousand, one hundred twenty".