1012001200120 has 128 divisors (see below), whose sum is σ = 2437382534400. Its totient is φ = 376823218176.

The previous prime is 1012001200099. The next prime is 1012001200123. The reversal of 1012001200120 is 210021002101.

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

1012001200120 is a modest number, since divided by 1200120 gives 10120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1012001200097 and 1012001200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012001200123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42755409 + ... + 42779071.

It is an arithmetic number, because the mean of its divisors is an integer number (19042051050).

Almost surely, 2^{1012001200120} is an apocalyptic number.

1012001200120 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 1012001200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218691267200).

1012001200120 is an abundant number, since it is smaller than the sum of its proper divisors (1425381334280).

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

1012001200120 is a wasteful number, since it uses less digits than its factorization.

1012001200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24377 (or 24373 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012001200120 its reverse (210021002101), we get a palindrome (1222022202221).

It can be divided in two parts, 1012001 and 200120, that added together give a palindrome (1212121).

The spelling of 1012001200120 in words is "one trillion, twelve billion, one million, two hundred thousand, one hundred twenty".