1211021310312 has 192 divisors, whose sum is σ = 3720200140800. Its totient is φ = 352521899520.

The previous prime is 1211021310299. The next prime is 1211021310337. The reversal of 1211021310312 is 2130131201121.

1211021310312 is a `hidden beast` number, since 1 + 21 + 1 + 0 + 21 + 310 + 312 = 666.

It is a super-2 number, since 2×1211021310312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4390873 + ... + 4658519.

It is an arithmetic number, because the mean of its divisors is an integer number (19376042400).

Almost surely, 2^{1211021310312} is an apocalyptic number.

1211021310312 is a gapful number since it is divisible by the number (12) 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 1211021310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860100070400).

1211021310312 is an abundant number, since it is smaller than the sum of its proper divisors (2509178830488).

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

1211021310312 is a wasteful number, since it uses less digits than its factorization.

1211021310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267896 (or 267889 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1211021310312 its reverse (2130131201121), we get a palindrome (3341152511433).

The spelling of 1211021310312 in words is "one trillion, two hundred eleven billion, twenty-one million, three hundred ten thousand, three hundred twelve".