211000120002000 has 720 divisors, whose sum is σ = 880441605465552. Its totient is φ = 46925115955200.

The previous prime is 211000120001971. The next prime is 211000120002019. The reversal of 211000120002000 is 200021000112.

It can be written as a sum of positive squares in 8 ways, for example, as 59161141290384 + 151838978711616 = 7691628^2 + 12322296^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29401174 + ... + 35866826.

Almost surely, 2^{211000120002000} is an apocalyptic number.

211000120002000 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 211000120002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440220802732776).

211000120002000 is an abundant number, since it is smaller than the sum of its proper divisors (669441485463552).

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

211000120002000 is a wasteful number, since it uses less digits than its factorization.

211000120002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465733 (or 6465707 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211000120002000 its reverse (200021000112), we get a palindrome (211200141002112).

The spelling of 211000120002000 in words is "two hundred eleven trillion, one hundred twenty million, two thousand".