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12212040 = 2335149683
BaseRepresentation
bin101110100101…
…011101001000
3211222102202210
4232211131020
511111241130
61113425120
7205541421
oct56453510
924872683
1012212040
1169910a5
12410b1a0
1326b7679
14189c648
1511135b0
hexba5748

12212040 has 64 divisors (see below), whose sum is σ = 36936000. Its totient is φ = 3229952.

The previous prime is 12212029. The next prime is 12212051. The reversal of 12212040 is 4021221.

12212040 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 (12212029) and next prime (12212051).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17539 + ... + 18221.

It is an arithmetic number, because the mean of its divisors is an integer number (577125).

Almost surely, 212212040 is an apocalyptic number.

12212040 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 12212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18468000).

12212040 is an abundant number, since it is smaller than the sum of its proper divisors (24723960).

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

12212040 is a wasteful number, since it uses less digits than its factorization.

12212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12212040 is about 3494.5729352812. The cubic root of 12212040 is about 230.2834564424.

Adding to 12212040 its reverse (4021221), we get a palindrome (16233261).

The spelling of 12212040 in words is "twelve million, two hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 683 745 894 1192 1366 1490 1788 2049 2235 2732 2980 3415 3576 4098 4470 5464 5960 6830 8196 8940 10245 13660 16392 17880 20490 27320 40980 81960 101767 203534 305301 407068 508835 610602 814136 1017670 1221204 1526505 2035340 2442408 3053010 4070680 6106020 12212040