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1121200192 = 26771101349
BaseRepresentation
bin100001011010100…
…0010100001000000
32220010201212112001
41002311002201000
54244011401232
6303131113344
736533021140
oct10265024100
92803655461
101121200192
11525985332
122735a2854
1314b394488
14a8c9a920
15686726e7
hex42d42840

1121200192 has 112 divisors (see below), whose sum is σ = 2611526400. Its totient is φ = 467712000.

The previous prime is 1121200163. The next prime is 1121200207. The reversal of 1121200192 is 2910021211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 3212434 + ... + 3212782.

It is an arithmetic number, because the mean of its divisors is an integer number (23317200).

Almost surely, 21121200192 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 1121200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305763200).

1121200192 is an abundant number, since it is smaller than the sum of its proper divisors (1490326208).

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

1121200192 is a wasteful number, since it uses less digits than its factorization.

1121200192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 1121200192 is about 33484.3275578292. The cubic root of 1121200192 is about 1038.8696397237.

The spelling of 1121200192 in words is "one billion, one hundred twenty-one million, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 101 112 142 202 224 284 349 404 448 497 568 698 707 808 994 1136 1396 1414 1616 1988 2272 2443 2792 2828 3232 3976 4544 4886 5584 5656 6464 7171 7952 9772 11168 11312 14342 15904 19544 22336 22624 24779 28684 31808 35249 39088 45248 49558 50197 57368 70498 78176 99116 100394 114736 140996 156352 173453 198232 200788 229472 246743 281992 346906 396464 401576 458944 493486 563984 693812 792928 803152 986972 1127968 1387624 1585856 1606304 1973944 2255936 2502679 2775248 3212608 3947888 5005358 5550496 7895776 10010716 11100992 15791552 17518753 20021432 35037506 40042864 70075012 80085728 140150024 160171456 280300048 560600096 1121200192