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1201212011120 = 2451110921159351
BaseRepresentation
bin10001011110101101110…
…100001011001001110000
311020211112112022122200012
4101132231310023021300
5124140040233323440
62315455034114052
7152533103425112
oct21365564131160
94224475278605
101201212011120
11423481956a80
1217497757b928
1389373726254
14421d34a33b2
15213a62e9e65
hex117add0b270

1201212011120 has 160 divisors (see below), whose sum is σ = 3089285844480. Its totient is φ = 430738560000.

The previous prime is 1201212011119. The next prime is 1201212011159. The reversal of 1201212011120 is 211102121021.

It is a junction number, because it is equal to n+sod(n) for n = 1201212011095 and 1201212011104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20209445 + ... + 20268795.

It is an arithmetic number, because the mean of its divisors is an integer number (19308036528).

Almost surely, 21201212011120 is an apocalyptic number.

1201212011120 is a gapful number since it is divisible by the number (10) 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 1201212011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544642922240).

1201212011120 is an abundant number, since it is smaller than the sum of its proper divisors (1888073833360).

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

1201212011120 is a wasteful number, since it uses less digits than its factorization.

1201212011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59695 (or 59689 counting only the distinct ones).

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

Adding to 1201212011120 its reverse (211102121021), we get a palindrome (1412314132141).

The spelling of 1201212011120 in words is "one trillion, two hundred one billion, two hundred twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 109 110 176 211 218 220 422 436 440 545 844 872 880 1055 1090 1199 1688 1744 2110 2180 2321 2398 3376 4220 4360 4642 4796 5995 8440 8720 9284 9592 11605 11990 16880 18568 19184 22999 23210 23980 37136 45998 46420 47960 59351 91996 92840 95920 114995 118702 183992 185680 229990 237404 252989 296755 367984 459980 474808 505978 593510 652861 919960 949616 1011956 1187020 1264945 1305722 1839920 2023912 2374040 2529890 2611444 3264305 4047824 4748080 5059780 5222888 6469259 6528610 10119560 10445776 12523061 12938518 13057220 20239120 25046122 25877036 26114440 32346295 50092244 51754072 52228880 62615305 64692590 71161849 100184488 103508144 125230610 129385180 137753671 142323698 200368976 250461220 258770360 275507342 284647396 355809245 500922440 517540720 551014684 569294792 688768355 711618490 1001844880 1102029368 1138589584 1365013649 1377536710 1423236980 2204058736 2730027298 2755073420 2846473960 5460054596 5510146840 5692947920 6825068245 10920109192 11020293680 13650136490 15015150139 21840218384 27300272980 30030300278 54600545960 60060600556 75075750695 109201091920 120121201112 150151501390 240242402224 300303002780 600606005560 1201212011120