1200012021120 has 384 divisors, whose sum is σ = 4208417388000. Its totient is φ = 290632826880.

The previous prime is 1200012021097. The next prime is 1200012021211. The reversal of 1200012021120 is 211202100021.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1200012021096 and 1200012021105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345922746 + ... + 345926214.

Almost surely, 2^{1200012021120} is an apocalyptic number.

1200012021120 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 1200012021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104208694000).

1200012021120 is an abundant number, since it is smaller than the sum of its proper divisors (3008405366880).

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

1200012021120 is a wasteful number, since it uses less digits than its factorization.

1200012021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1200012021120 its reverse (211202100021), we get a palindrome (1411214121141).

The spelling of 1200012021120 in words is "one trillion, two hundred billion, twelve million, twenty-one thousand, one hundred twenty".