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12202000240 = 2451713168489
BaseRepresentation
bin10110101110100101…
…11011111101110000
31011111101012211120211
423113102323331300
5144442203001430
65334443113504
7611243201503
oct132722737560
934441184524
1012202000240
1151a1790421
122446512894
1311c5c6c3b1
1483a7a113a
154b637272a
hex2d74bbf70

12202000240 has 80 divisors (see below), whose sum is σ = 30268196640. Its totient is φ = 4558561280.

The previous prime is 12202000177. The next prime is 12202000243. The reversal of 12202000240 is 4200020221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12202000240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202000243) 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, 143916 + ... + 212404.

It is an arithmetic number, because the mean of its divisors is an integer number (378352458).

Almost surely, 212202000240 is an apocalyptic number.

12202000240 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 12202000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134098320).

12202000240 is an abundant number, since it is smaller than the sum of its proper divisors (18066196400).

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

12202000240 is a wasteful number, since it uses less digits than its factorization.

12202000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68650 (or 68644 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 12202000240 its reverse (4200020221), we get a palindrome (16402020461).

The spelling of 12202000240 in words is "twelve billion, two hundred two million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 131 136 170 262 272 340 524 655 680 1048 1310 1360 2096 2227 2620 4454 5240 8908 10480 11135 17816 22270 35632 44540 68489 89080 136978 178160 273956 342445 547912 684890 1095824 1164313 1369780 2328626 2739560 4657252 5479120 5821565 8972059 9314504 11643130 17944118 18629008 23286260 35888236 44860295 46572520 71776472 89720590 93145040 143552944 152525003 179441180 305050006 358882360 610100012 717764720 762625015 1220200024 1525250030 2440400048 3050500060 6101000120 12202000240