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1121100120112 = 247210732994051
BaseRepresentation
bin10000010100000110110…
…001100100000000110000
310222011202101122221001211
4100110012301210000300
5121332003112320422
62215005402205504
7143665622534500
oct20240661440060
93864671587054
101121100120112
113a2501877595
1216133a1b3894
138194737644b
143c39391da00
151e2680c8577
hex10506c64030

1121100120112 has 120 divisors (see below), whose sum is σ = 2551782657600. Its totient is φ = 475719350400.

The previous prime is 1121100120083. The next prime is 1121100120121. The reversal of 1121100120112 is 2110210011211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1121100120092 and 1121100120101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276744487 + ... + 276748537.

It is an arithmetic number, because the mean of its divisors is an integer number (21264855480).

Almost surely, 21121100120112 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 1121100120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275891328800).

1121100120112 is an abundant number, since it is smaller than the sum of its proper divisors (1430682537488).

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

1121100120112 is a wasteful number, since it uses less digits than its factorization.

1121100120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7479 (or 7466 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1121100120112 its reverse (2110210011211), we get a palindrome (3231310131323).

The spelling of 1121100120112 in words is "one trillion, one hundred twenty-one billion, one hundred million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 107 112 196 214 392 428 749 784 856 1498 1712 2996 3299 4051 5243 5992 6598 8102 10486 11984 13196 16204 20972 23093 26392 28357 32408 41944 46186 52784 56714 64816 83888 92372 113428 161651 184744 198499 226856 323302 352993 369488 396998 433457 453712 646604 705986 793996 866914 1293208 1411972 1587992 1733828 2470951 2586416 2823944 3034199 3175984 3467656 4941902 5647888 6068398 6935312 9883804 12136796 13364249 17296657 19767608 21239393 24273592 26728498 34593314 39535216 42478786 48547184 53456996 69186628 84957572 93549743 106913992 138373256 169915144 187099486 213827984 276746512 339830288 374198972 654848201 748397944 1309696402 1429974643 1496795888 2619392804 2859949286 5238785608 5719898572 10009822501 10477571216 11439797144 20019645002 22879594288 40039290004 70068757507 80078580008 140137515014 160157160016 280275030028 560550060056 1121100120112