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12270994988004 = 223471227412
BaseRepresentation
bin1011001010010001000001…
…0011000001101111100100
31121110002120201221212010000
42302210100103001233210
53102021444204104004
642033114533101300
72404356460263564
oct262442023015744
947402521855100
1012270994988004
113a01110848305
12146224b487830
136b01c432a1ac
14305cc28bada4
151642e3ee6c39
hexb29104c1be4

12270994988004 has 135 divisors (see below), whose sum is σ = 32548857340153. Its totient is φ = 4031250098400.

The previous prime is 12270994987963. The next prime is 12270994988011. The reversal of 12270994988004 is 40088949907221.

The square root of 12270994988004 is 3502998.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3630922628004 + 8640072360000 = 1905498^2 + 2939400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4476830074 + ... + 4476832814.

Almost surely, 212270994988004 is an apocalyptic number.

12270994988004 is the 3502998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12270994988004

12270994988004 is an abundant number, since it is smaller than the sum of its proper divisors (20277862352149).

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

12270994988004 is an frugal number, since it uses more digits than its factorization.

12270994988004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 12270994988004 in words is "twelve trillion, two hundred seventy billion, nine hundred ninety-four million, nine hundred eighty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 324 426 639 852 1278 1917 2556 2741 3834 5041 5482 5751 7668 8223 10082 10964 11502 15123 16446 20164 23004 24669 30246 32892 45369 49338 60492 74007 90738 98676 136107 148014 181476 194611 222021 272214 296028 389222 408321 444042 544428 583833 778444 816642 888084 1167666 1633284 1751499 2335332 3502998 5254497 7005996 7513081 10508994 13817381 15026162 15763491 21017988 22539243 27634762 30052324 31526982 41452143 45078486 55269524 63053964 67617729 82904286 90156972 124356429 135235458 165808572 202853187 248712858 270470916 373069287 405706374 497425716 533428751 608559561 746138574 811412748 1066857502 1119207861 1217119122 1492277148 1600286253 2133715004 2238415722 2434238244 3200572506 4476831444 4800858759 6401145012 9601717518 14402576277 19203435036 28805152554 37873441321 43207728831 57610305108 75746882642 86415457662 113620323963 151493765284 172830915324 227240647926 340860971889 454481295852 681721943778 1022582915667 1363443887556 2045165831334 3067748747001 4090331662668 6135497494002 12270994988004