1203101061120 has 2340 divisors, whose sum is σ = 5424037311924. Its totient is φ = 254166958080.

The previous prime is 1203101061103. The next prime is 1203101061137. The reversal of 1203101061120 is 211601013021.

1203101061120 is a `hidden beast` number, since 1 + 2 + 0 + 31 + 0 + 1 + 0 + 611 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1203101061103) and next prime (1203101061137).

It can be written as a sum of positive squares in 2 ways, for example, as 211276283904 + 991824777216 = 459648^2 + 995904^2 .

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 = 1203101061093 and 1203101061102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 29343928300 + ... + 29343928340.

Almost surely, 2^{1203101061120} is an apocalyptic number.

1203101061120 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 1203101061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712018655962).

1203101061120 is an abundant number, since it is smaller than the sum of its proper divisors (4220936250804).

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

1203101061120 is an equidigital number, since it uses as much as digits as its factorization.

1203101061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1203101061120 its reverse (211601013021), we get a palindrome (1414702074141).

The spelling of 1203101061120 in words is "one trillion, two hundred three billion, one hundred one million, sixty-one thousand, one hundred twenty".