261120000 has 280 divisors, whose sum is σ = 921248856. Its totient is φ = 65536000.

The previous prime is 261119993. The next prime is 261120019. The reversal of 261120000 is 21162.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15359992 + ... + 15360008.

Almost surely, 2^261120000 is an apocalyptic number.

261120000 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 261120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460624428).

261120000 is an abundant number, since it is smaller than the sum of its proper divisors (660128856).

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

261120000 is an frugal number, since it uses more digits than its factorization.

261120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 261120000 is about 16159.2079013793. The cubic root of 261120000 is about 639.1655792363.

Adding to 261120000 its reverse (21162), we get a palindrome (261141162).

The spelling of 261120000 in words is "two hundred sixty-one million, one hundred twenty thousand".