1012212001200 has 120 divisors (see below), whose sum is σ = 3246153028048. Its totient is φ = 269615139840.

The previous prime is 1012212001193. The next prime is 1012212001223. The reversal of 1012212001200 is 21002122101.

1012212001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571494 + ... + 1533306.

Almost surely, 2^{1012212001200} is an apocalyptic number.

1012212001200 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 1012212001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623076514024).

1012212001200 is an abundant number, since it is smaller than the sum of its proper divisors (2233941026848).

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

1012212001200 is a wasteful number, since it uses less digits than its factorization.

1012212001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962711 (or 962700 counting only the distinct ones).

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

Adding to 1012212001200 its reverse (21002122101), we get a palindrome (1033214123301).

The spelling of 1012212001200 in words is "one trillion, twelve billion, two hundred twelve million, one thousand, two hundred".