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1224212141040 = 243572925127507
BaseRepresentation
bin10001110100001000101…
…110101101001111110000
311100000220110010022110220
4101310020232231033300
5130024141302003130
62334221214453040
7154306055335350
oct21641056551760
94300813108426
101224212141040
11432204925009
12179316204180
138b59a82c595
1443375dc6b60
1521ca0633410
hex11d08bad3f0

1224212141040 has 160 divisors (see below), whose sum is σ = 4486767828480. Its totient is φ = 270170944512.

The previous prime is 1224212141023. The next prime is 1224212141083. The reversal of 1224212141040 is 401412124221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1224212141040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12515034 + ... + 12612473.

It is an arithmetic number, because the mean of its divisors is an integer number (28042298928).

Almost surely, 21224212141040 is an apocalyptic number.

1224212141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224212141040 is an abundant number, since it is smaller than the sum of its proper divisors (3262555687440).

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

1224212141040 is a wasteful number, since it uses less digits than its factorization.

1224212141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25127559 (or 25127553 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1224212141040 its reverse (401412124221), we get a palindrome (1625624265261).

The spelling of 1224212141040 in words is "one trillion, two hundred twenty-four billion, two hundred twelve million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 3045 3248 3480 4060 4872 6090 6960 8120 9744 12180 16240 24360 48720 25127507 50255014 75382521 100510028 125637535 150765042 175892549 201020056 251275070 301530084 351785098 376912605 402040112 502550140 527677647 603060168 703570196 728697703 753825210 879462745 1005100280 1055355294 1206120336 1407140392 1457395406 1507650420 1758925490 2010200560 2110710588 2186093109 2638388235 2814280784 2914790812 3015300840 3517850980 3643488515 4221421176 4372186218 5100883921 5276776470 5829581624 6030601680 7035701960 7286977030 8442842352 8744372436 10201767842 10553552940 10930465545 11659163248 14071403920 14573954060 15302651763 17488744872 20403535684 21107105880 21860931090 25504419605 29147908120 30605303526 34977489744 40807071368 42214211760 43721862180 51008839210 58295816240 61210607052 76513258815 81614142736 87443724360 102017678420 122421214104 153026517630 174887448720 204035356840 244842428208 306053035260 408070713680 612106070520 1224212141040