211012092144 has 160 divisors (see below), whose sum is σ = 692386557440. Its totient is φ = 60273704448.

The previous prime is 211012092143. The next prime is 211012092149. The reversal of 211012092144 is 441290210112.

It is a happy number.

It is a super-2 number, since 2×211012092144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211012092143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17342607 + ... + 17354769.

It is an arithmetic number, because the mean of its divisors is an integer number (4327415984).

Almost surely, 2^211012092144 is an apocalyptic number.

211012092144 is a gapful number since it is divisible by the number (24) 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 211012092144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346193278720).

211012092144 is an abundant number, since it is smaller than the sum of its proper divisors (481374465296).

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

211012092144 is a wasteful number, since it uses less digits than its factorization.

211012092144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17924 (or 17912 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 211012092144 in words is "two hundred eleven billion, twelve million, ninety-two thousand, one hundred forty-four".