261122000 has 80 divisors (see below), whose sum is σ = 636669072. Its totient is φ = 103577600.

The previous prime is 261121999. The next prime is 261122009. The reversal of 261122000 is 221162.

261122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 84125584 + 176996416 = 9172^2 + 13304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261122009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273524 + ... + 274476.

Almost surely, 2^261122000 is an apocalyptic number.

261122000 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 261122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318334536).

261122000 is an abundant number, since it is smaller than the sum of its proper divisors (375547072).

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

261122000 is a wasteful number, since it uses less digits than its factorization.

261122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 261122000 is about 16159.2697854823. The cubic root of 261122000 is about 639.1672110887.

Adding to 261122000 its reverse (221162), we get a palindrome (261343162).

The spelling of 261122000 in words is "two hundred sixty-one million, one hundred twenty-two thousand".