1000211200120 has 96 divisors (see below), whose sum is σ = 2495974674960. Its totient is φ = 357750067200.

The previous prime is 1000211200057. The next prime is 1000211200123. The reversal of 1000211200120 is 210021120001.

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 = 1000211200097 and 1000211200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000211200123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1331784 + ... + 1942696.

Almost surely, 2^{1000211200120} is an apocalyptic number.

1000211200120 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 1000211200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247987337480).

1000211200120 is an abundant number, since it is smaller than the sum of its proper divisors (1495763474840).

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

1000211200120 is a wasteful number, since it uses less digits than its factorization.

1000211200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611057 (or 610992 counting only the distinct ones).

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

Adding to 1000211200120 its reverse (210021120001), we get a palindrome (1210232320121).

The spelling of 1000211200120 in words is "one trillion, two hundred eleven million, two hundred thousand, one hundred twenty".