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1220212044240 = 243572273319541
BaseRepresentation
bin10001110000011010010…
…011100011000111010000
311022122120200020100020120
4101300122103203013100
5124442443240403430
62332320242510240
7154104664146510
oct21603223430720
94278520210216
101220212044240
11430541985092
1217859a665380
138b0b0ba5ab7
14430b6a49840
1521b1938e610
hex11c1a4e31d0

1220212044240 has 160 divisors (see below), whose sum is σ = 4324952399616. Its totient is φ = 278782033920.

The previous prime is 1220212044131. The next prime is 1220212044329. The reversal of 1220212044240 is 424402120221.

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 1220212044240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3658870 + ... + 3978410.

Almost surely, 21220212044240 is an apocalyptic number.

1220212044240 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 1220212044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162476199808).

1220212044240 is an abundant number, since it is smaller than the sum of its proper divisors (3104740355376).

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

1220212044240 is a wasteful number, since it uses less digits than its factorization.

1220212044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321837 (or 321831 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1220212044240 its reverse (424402120221), we get a palindrome (1644614164461).

The spelling of 1220212044240 in words is "one trillion, two hundred twenty billion, two hundred twelve million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2273 4546 6819 9092 11365 13638 15911 18184 22730 27276 31822 34095 36368 45460 47733 54552 63644 68190 79555 90920 95466 109104 127288 136380 159110 181840 190932 238665 254576 272760 318220 319541 381864 477330 545520 636440 639082 763728 954660 958623 1272880 1278164 1597705 1909320 1917246 2236787 2556328 3195410 3818640 3834492 4473574 4793115 5112656 6390820 6710361 7668984 8947148 9586230 11183935 12781640 13420722 15337968 17894296 19172460 22367870 25563280 26841444 33551805 35788592 38344920 44735740 53682888 67103610 76689840 89471480 107365776 134207220 178942960 268414440 536828880 726316693 1452633386 2178950079 2905266772 3631583465 4357900158 5084216851 5810533544 7263166930 8715800316 10168433702 10894750395 11621067088 14526333860 15252650553 17431600632 20336867404 21789500790 25421084255 29052667720 30505301106 34863201264 40673734808 43579001580 50842168510 58105335440 61010602212 76263252765 81347469616 87158003160 101684337020 122021204424 152526505530 174316006320 203368674040 244042408848 305053011060 406737348080 610106022120 1220212044240