1211222132000 has 192 divisors, whose sum is σ = 3034303874784. Its totient is φ = 475070054400.

The previous prime is 1211222131993. The next prime is 1211222132009. The reversal of 1211222132000 is 2312221121.

It can be written as a sum of positive squares in 16 ways, for example, as 931714576 + 1210290417424 = 30524^2 + 1100132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1211222132000.

It is not an unprimeable number, because it can be changed into a prime (1211222132009) 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, 50504012 + ... + 50527988.

Almost surely, 2^{1211222132000} is an apocalyptic number.

1211222132000 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 1211222132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517151937392).

1211222132000 is an abundant number, since it is smaller than the sum of its proper divisors (1823081742784).

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

1211222132000 is a wasteful number, since it uses less digits than its factorization.

1211222132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24248 (or 24230 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1211222132000 its reverse (2312221121), we get a palindrome (1213534353121).

The spelling of 1211222132000 in words is "one trillion, two hundred eleven billion, two hundred twenty-two million, one hundred thirty-two thousand".