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1220021312136 = 2331124192920641
BaseRepresentation
bin10001110000001110111…
…011111101101010001000
311022122002101100010222120
4101300032323331222020
5124442100423442021
62332245310451240
7154100160022314
oct21601673755210
94278071303876
101220021312136
11430454252250
12178546803b20
138b080515073
144309959ab44
1521b077662c6
hex11c0eefda88

1220021312136 has 128 divisors (see below), whose sum is σ = 3344895734400. Its totient is φ = 367755264000.

The previous prime is 1220021312123. The next prime is 1220021312161. The reversal of 1220021312136 is 6312131200221.

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

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, 59096376 + ... + 59117016.

It is an arithmetic number, because the mean of its divisors is an integer number (26131997925).

Almost surely, 21220021312136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220021312136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672447867200).

1220021312136 is an abundant number, since it is smaller than the sum of its proper divisors (2124874422264).

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

1220021312136 is a wasteful number, since it uses less digits than its factorization.

1220021312136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21831 (or 21827 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1220021312136 its reverse (6312131200221), we get a palindrome (7532152512357).

The spelling of 1220021312136 in words is "one trillion, two hundred twenty billion, twenty-one million, three hundred twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 241 264 482 723 929 964 1446 1858 1928 2651 2787 2892 3716 5302 5574 5784 7432 7953 10219 10604 11148 15906 20438 20641 21208 22296 30657 31812 40876 41282 61314 61923 63624 81752 82564 122628 123846 165128 223889 227051 245256 247692 447778 454102 495384 671667 681153 895556 908204 1343334 1362306 1791112 1816408 2462779 2686668 2724612 4925558 4974481 5373336 5449224 7388337 9851116 9948962 14776674 14923443 19175489 19702232 19897924 29553348 29846886 38350978 39795848 54719291 57526467 59106696 59693772 76701956 109438582 115052934 119387544 153403912 164157873 210930379 218877164 230105868 328315746 421860758 437754328 460211736 632791137 656631492 843721516 1265582274 1313262984 1687443032 2531164548 4621292849 5062329096 9242585698 13863878547 18485171396 27727757094 36970342792 50834221339 55455514188 101668442678 110911028376 152502664017 203336885356 305005328034 406673770712 610010656068 1220021312136