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12211380 = 22325179379
BaseRepresentation
bin101110100101…
…010010110100
3211222101212100
4232211102310
511111231010
61113422100
7205536456
oct56452264
924871770
1012211380
116990655
12410a930
1326b728c
14189c2d6
1511132c0
hexba54b4

12211380 has 72 divisors (see below), whose sum is σ = 37346400. Its totient is φ = 3229632.

The previous prime is 12211373. The next prime is 12211387. The reversal of 12211380 is 8311221.

12211380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12211373) and next prime (12211387).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32031 + ... + 32409.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 212211380 is an apocalyptic number.

12211380 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 12211380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673200).

12211380 is an abundant number, since it is smaller than the sum of its proper divisors (25135020).

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

12211380 is a wasteful number, since it uses less digits than its factorization.

12211380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12211380 is about 3494.4785018655. The cubic root of 12211380 is about 230.2793078093.

It can be divided in two parts, 1221 and 1380, that added together give a square (2601 = 512).

The spelling of 12211380 in words is "twelve million, two hundred eleven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 379 537 716 758 895 1074 1137 1516 1611 1790 1895 2148 2274 2685 3222 3411 3580 3790 4548 5370 5685 6444 6822 7580 8055 10740 11370 13644 16110 17055 22740 32220 34110 67841 68220 135682 203523 271364 339205 407046 610569 678410 814092 1017615 1221138 1356820 2035230 2442276 3052845 4070460 6105690 12211380