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12202042440 = 2335719764539
BaseRepresentation
bin10110101110100110…
…00110010001001000
31011111101021222110210
423113103012101020
5144442210324230
65334444041120
7611243435520
oct132723062110
934441258423
1012202042440
1151a180a0a5
1224465331a0
1311c5c85673
1483a7b2680
154b637eeb0
hex2d74c6448

12202042440 has 128 divisors (see below), whose sum is σ = 44037504000. Its totient is φ = 2642243328.

The previous prime is 12202042439. The next prime is 12202042441. The reversal of 12202042440 is 4424020221.

It is an interprime number because it is at equal distance from previous prime (12202042439) and next prime (12202042441).

It is a super-2 number, since 2×122020424402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12202042441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366310 + ... + 398229.

It is an arithmetic number, because the mean of its divisors is an integer number (344043000).

Almost surely, 212202042440 is an apocalyptic number.

12202042440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202042440 is an abundant number, since it is smaller than the sum of its proper divisors (31835461560).

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

12202042440 is a wasteful number, since it uses less digits than its factorization.

12202042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764579 (or 764575 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 12202042440 its reverse (4424020221), we get a palindrome (16626062661).

The spelling of 12202042440 in words is "twelve billion, two hundred two million, forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 764539 1529078 2293617 3058156 3822695 4587234 5351773 6116312 7645390 9174468 10703546 11468085 14526241 15290780 16055319 18348936 21407092 22936170 26758865 29052482 30581560 32110638 42814184 43578723 45872340 53517730 58104964 64221276 72631205 80276595 87157446 91744680 101683687 107035460 116209928 128442552 145262410 160553190 174314892 203367374 214070920 217893615 290524820 305051061 321106380 348629784 406734748 435787230 508418435 581049640 610102122 642212760 813469496 871574460 1016836870 1220204244 1525255305 1743148920 2033673740 2440408488 3050510610 4067347480 6101021220 12202042440