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12277980 = 22345111353
BaseRepresentation
bin101110110101…
…100011011100
3212002210020000
4232311203130
511120343410
61115054300
7206234601
oct56654334
925083200
1012277980
116a266a0
124141390
13270b6a0
1418b86a8
151127dc0
hexbb58dc

12277980 has 240 divisors, whose sum is σ = 46103904. Its totient is φ = 2695680.

The previous prime is 12277973. The next prime is 12277981. The reversal of 12277980 is 8977221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12277981) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231634 + ... + 231686.

Almost surely, 212277980 is an apocalyptic number.

12277980 is a gapful number since it is divisible by the number (10) 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 12277980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051952).

12277980 is an abundant number, since it is smaller than the sum of its proper divisors (33825924).

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

12277980 is a wasteful number, since it uses less digits than its factorization.

12277980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 12277980 is about 3503.9948630099. The cubic root of 12277980 is about 230.6971913599.

Adding to 12277980 its sum of digits (36), we get a square (12278016 = 35042).

The spelling of 12277980 in words is "twelve million, two hundred seventy-seven thousand, nine hundred eighty".