211212011201000 has 192 divisors, whose sum is σ = 526577140505520. Its totient is φ = 79279123660800.

The previous prime is 211212011200909. The next prime is 211212011201003. The reversal of 211212011201000 is 102110212112.

It can be written as a sum of positive squares in 24 ways, for example, as 11415086618884 + 199796924582116 = 3378622^2 + 14134954^2 .

It is a super-2 number, since 2×211212011201000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211212011201003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96308672 + ... + 98477328.

Almost surely, 2^{211212011201000} is an apocalyptic number.

211212011201000 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 211212011201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263288570252760).

211212011201000 is an abundant number, since it is smaller than the sum of its proper divisors (315365129304520).

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

211212011201000 is a wasteful number, since it uses less digits than its factorization.

211212011201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169049 (or 2169018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211212011201000 its reverse (102110212112), we get a palindrome (211314121413112).

The spelling of 211212011201000 in words is "two hundred eleven trillion, two hundred twelve billion, eleven million, two hundred one thousand".