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1122223971072 = 28310722815987
BaseRepresentation
bin10000010101001001110…
…000101101101100000000
310222021122201101110202110
4100111021300231230000
5121341303314033242
62215313110215320
7144035520236061
oct20251160555400
93867581343673
101122223971072
113a2a291a2436
121615b2654540
1381a96158309
143c45ccaa568
151e2d1ac139c
hex10549c2db00

1122223971072 has 144 divisors (see below), whose sum is σ = 3016491311232. Its totient is φ = 370354298880.

The previous prime is 1122223971061. The next prime is 1122223971083. The reversal of 1122223971072 is 2701793222211.

It is an interprime number because it is at equal distance from previous prime (1122223971061) and next prime (1122223971083).

It is a self number, because there is not a number n which added to its sum of digits gives 1122223971072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187440463 + ... + 187446449.

It is an arithmetic number, because the mean of its divisors is an integer number (20947856328).

Almost surely, 21122223971072 is an apocalyptic number.

1122223971072 is a gapful number since it is divisible by the number (12) 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 1122223971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508245655616).

1122223971072 is an abundant number, since it is smaller than the sum of its proper divisors (1894267340160).

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

1122223971072 is a wasteful number, since it uses less digits than its factorization.

1122223971072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8394 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 1122223971072 in words is "one trillion, one hundred twenty-two billion, two hundred twenty-three million, nine hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 642 768 856 1284 1712 2281 2568 3424 4562 5136 5987 6843 6848 9124 10272 11974 13686 13696 17961 18248 20544 23948 27372 27392 35922 36496 41088 47896 54744 71844 72992 82176 95792 109488 143688 145984 191584 218976 244067 287376 291968 383168 437952 488134 574752 583936 640609 732201 766336 875904 976268 1149504 1281218 1464402 1532672 1751808 1921827 1952536 2299008 2562436 2928804 3843654 3905072 4598016 5124872 5857608 7687308 7810144 10249744 11715216 13656347 15374616 15620288 20499488 23430432 27312694 30749232 31240576 40969041 40998976 46860864 54625388 61498464 62481152 81938082 81997952 93721728 109250776 122996928 163876164 163995904 187443456 218501552 245993856 327752328 437003104 491987712 655504656 874006208 1311009312 1461229129 1748012416 2622018624 2922458258 3496024832 4383687387 5244037248 5844916516 8767374774 10488074496 11689833032 17534749548 23379666064 35069499096 46759332128 70138998192 93518664256 140277996384 187037328512 280555992768 374074657024 561111985536 1122223971072