1200121011120 has 80 divisors (see below), whose sum is σ = 3742652954880. Its totient is φ = 318115898112.

The previous prime is 1200121011119. The next prime is 1200121011121. The reversal of 1200121011120 is 211101210021.

It is an interprime number because it is at equal distance from previous prime (1200121011119) and next prime (1200121011121).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1200121011096 and 1200121011105.

It is not an unprimeable number, because it can be changed into a prime (1200121011121) 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, 14931490 + ... + 15011649.

It is an arithmetic number, because the mean of its divisors is an integer number (46783161936).

Almost surely, 2^{1200121011120} is an apocalyptic number.

1200121011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200121011120 is an abundant number, since it is smaller than the sum of its proper divisors (2542531943760).

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

1200121011120 is a wasteful number, since it uses less digits than its factorization.

1200121011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29943322 (or 29943316 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1200121011120 its reverse (211101210021), we get a palindrome (1411222221141).

The spelling of 1200121011120 in words is "one trillion, two hundred billion, one hundred twenty-one million, eleven thousand, one hundred twenty".