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12220004033440 = 255779138110353
BaseRepresentation
bin1011000111010011000011…
…1111111110001110100000
31121021012222002110222101021
42301310300333332032200
53100203032013032230
641553443052015224
72400603043312510
oct261646077761640
947235862428337
1012220004033440
11399152477a445
12145439a761514
136a8459199528
14303646715840
15162d0c65ac7a
hexb1d30ffe3a0

12220004033440 has 96 divisors (see below), whose sum is σ = 33411656839680. Its totient is φ = 4136681263104.

The previous prime is 12220004033417. The next prime is 12220004033443. The reversal of 12220004033440 is 4433040002221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12220004033443) 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, 68966697 + ... + 69143656.

It is an arithmetic number, because the mean of its divisors is an integer number (348038092080).

Almost surely, 212220004033440 is an apocalyptic number.

12220004033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220004033440 is an abundant number, since it is smaller than the sum of its proper divisors (21191652806240).

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

12220004033440 is a wasteful number, since it uses less digits than its factorization.

12220004033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138110454 (or 138110446 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 12220004033440 its reverse (4433040002221), we get a palindrome (16653044035661).

The spelling of 12220004033440 in words is "twelve trillion, two hundred twenty billion, four million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 79 80 112 140 158 160 224 280 316 395 553 560 632 790 1106 1120 1264 1580 2212 2528 2765 3160 4424 5530 6320 8848 11060 12640 17696 22120 44240 88480 138110353 276220706 552441412 690551765 966772471 1104882824 1381103530 1933544942 2209765648 2762207060 3867089884 4419531296 4833862355 5524414120 7734179768 9667724710 10910717887 11048828240 15468359536 19335449420 21821435774 22097656480 30936719072 38670898840 43642871548 54553589435 76375025209 77341797680 87285743096 109107178870 152750050418 154683595360 174571486192 218214357740 305500100836 349142972384 381875126045 436428715480 611000201672 763750252090 872857430960 1222000403344 1527500504180 1745714861920 2444000806688 3055001008360 6110002016720 12220004033440