1211012000000 has 504 divisors, whose sum is σ = 3492320922720. Its totient is φ = 414208000000.

The previous prime is 1211011999999. The next prime is 1211012000027. The reversal of 1211012000000 is 2101121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 747999191 + ... + 748000809.

It is an arithmetic number, because the mean of its divisors is an integer number (6929208180).

Almost surely, 2^{1211012000000} is an apocalyptic number.

1211012000000 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 1211012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746160461360).

1211012000000 is an abundant number, since it is smaller than the sum of its proper divisors (2281308922720).

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

1211012000000 is an frugal number, since it uses more digits than its factorization.

1211012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1211012000000 its reverse (2101121), we get a palindrome (1211014101121).

The spelling of 1211012000000 in words is "one trillion, two hundred eleven billion, twelve million", and thus it is an aban number.