211122001012000 has 384 divisors, whose sum is σ = 592334851163328. Its totient is φ = 73262407680000.

The previous prime is 211122001011979. The next prime is 211122001012001. The reversal of 211122001012000 is 210100221112.

It can be written as a sum of positive squares in 32 ways, for example, as 84246918246544 + 126875082765456 = 9178612^2 + 11263884^2 .

It is a super-2 number, since 2×211122001012000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (211122001012001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619513654 + ... + 619854346.

Almost surely, 2^{211122001012000} is an apocalyptic number.

211122001012000 is a gapful number since it is divisible by the number (20) 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 211122001012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296167425581664).

211122001012000 is an abundant number, since it is smaller than the sum of its proper divisors (381212850151328).

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

211122001012000 is a wasteful number, since it uses less digits than its factorization.

211122001012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341449 (or 341431 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211122001012000 its reverse (210100221112), we get a palindrome (211332101233112).

The spelling of 211122001012000 in words is "two hundred eleven trillion, one hundred twenty-two billion, one million, twelve thousand".