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1002211121120 = 255111733496361
BaseRepresentation
bin11101001010110000111…
…00000001011111100000
310112210212211001000102212
432211120130001133200
5112410012021333440
62044224234301252
7132256503654206
oct16453034013740
93483784030385
101002211121120
11357043060a20
1214229a587828
137367b3c2131
1436715d7b076
151b10a92d465
hexe9587017e0

1002211121120 has 96 divisors (see below), whose sum is σ = 2734910964576. Its totient is φ = 343002726400.

The previous prime is 1002211121113. The next prime is 1002211121143. The reversal of 1002211121120 is 211211122001.

It is a junction number, because it is equal to n+sod(n) for n = 1002211121095 and 1002211121104.

It is a congruent number.

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, 16718261 + ... + 16778100.

It is an arithmetic number, because the mean of its divisors is an integer number (28488655881).

Almost surely, 21002211121120 is an apocalyptic number.

1002211121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002211121120 is an abundant number, since it is smaller than the sum of its proper divisors (1732699843456).

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

1002211121120 is a wasteful number, since it uses less digits than its factorization.

1002211121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33496404 (or 33496396 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1002211121120 its reverse (211211122001), we get a palindrome (1213422243121).

The spelling of 1002211121120 in words is "one trillion, two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 14960 29920 33496361 66992722 133985444 167481805 267970888 334963610 368459971 535941776 569438137 669927220 736919942 1071883552 1138876274 1339854440 1473839884 1842299855 2277752548 2679708880 2847190685 2947679768 3684599710 4555505096 5359417760 5694381370 5895359536 6263819507 7369199420 9111010192 11388762740 11790719072 12527639014 14738398840 18222020384 22777525480 25055278028 29476797680 31319097535 45555050960 50110556056 58953595360 62638195070 91110101920 100221112112 125276390140 200442224224 250552780280 501105560560 1002211121120