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1012207944192 = 29317131929389
BaseRepresentation
bin11101011101011000100…
…10111000001000000000
310120202200111211020122020
432232230102320020000
5113041000213203232
62053000225041440
7133062312365034
oct16565422701000
93522614736566
101012207944192
11360302aa6075
1214420a486280
13745b2539563
1436dc39141c4
151b4e33aee2c
hexebac4b8200

1012207944192 has 160 divisors (see below), whose sum is σ = 2857469788800. Its totient is φ = 317303881728.

The previous prime is 1012207944191. The next prime is 1012207944193. The reversal of 1012207944192 is 2914497022101.

It is an interprime number because it is at equal distance from previous prime (1012207944191) and next prime (1012207944193).

It is not an unprimeable number, because it can be changed into a prime (1012207944191) 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, 34427034 + ... + 34456422.

It is an arithmetic number, because the mean of its divisors is an integer number (17859186180).

Almost surely, 21012207944192 is an apocalyptic number.

1012207944192 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 1012207944192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428734894400).

1012207944192 is an abundant number, since it is smaller than the sum of its proper divisors (1845261844608).

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

1012207944192 is a wasteful number, since it uses less digits than its factorization.

1012207944192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30746 (or 30730 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 1012207944192 in words is "one trillion, twelve billion, two hundred seven million, nine hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1319 1536 1632 2176 2638 3264 3957 4352 5276 6528 7914 8704 10552 13056 15828 21104 22423 26112 29389 31656 42208 44846 58778 63312 67269 84416 88167 89692 117556 126624 134538 168832 176334 179384 235112 253248 269076 337664 352668 358768 470224 499613 506496 538152 675328 705336 717536 940448 999226 1012992 1076304 1410672 1435072 1498839 1880896 1998452 2025984 2152608 2821344 2870144 2997678 3761792 3996904 4305216 5642688 5740288 5995356 7523584 7993808 8610432 11285376 11480576 11990712 15047168 15987616 17220864 22570752 23981424 31975232 34441728 38764091 45141504 47962848 63950464 77528182 95925696 116292273 127900928 155056364 191851392 232584546 255801856 310112728 383702784 465169092 620225456 658989547 767405568 930338184 1240450912 1317979094 1860676368 1976968641 2480901824 2635958188 3721352736 3953937282 4961803648 5271916376 7442705472 7907874564 9923607296 10543832752 14885410944 15815749128 19847214592 21087665504 29770821888 31631498256 42175331008 59541643776 63262996512 84350662016 126525993024 168701324032 253051986048 337402648064 506103972096 1012207944192