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1141001412120 = 233352936430441
BaseRepresentation
bin10000100110101000111…
…110111101111000011000
311001002010100110022102000
4100212220332331320120
5122143232330141440
62232100244041000
7145302035660133
oct20465076757030
94032110408360
101141001412120
113aa994607859
12165173093160
138379947068b
143d320a6d21a
151ea30347730
hex109a8fbde18

1141001412120 has 128 divisors (see below), whose sum is σ = 3934487736000. Its totient is φ = 293775068160.

The previous prime is 1141001412107. The next prime is 1141001412137. The reversal of 1141001412120 is 212141001411.

1141001412120 is a `hidden beast` number, since 1 + 1 + 410 + 0 + 1 + 41 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1141001412093 and 1141001412102.

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, 18183901 + ... + 18246540.

Almost surely, 21141001412120 is an apocalyptic number.

1141001412120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141001412120 is an abundant number, since it is smaller than the sum of its proper divisors (2793486323880).

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

1141001412120 is a wasteful number, since it uses less digits than its factorization.

1141001412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36430490 (or 36430480 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1141001412120 its reverse (212141001411), we get a palindrome (1353142413531).

The spelling of 1141001412120 in words is "one trillion, one hundred forty-one billion, one million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 31320 36430441 72860882 109291323 145721764 182152205 218582646 291443528 327873969 364304410 437165292 546456615 655747938 728608820 874330584 983621907 1056482789 1092913230 1311495876 1457217640 1639369845 1967243814 2112965578 2185826460 2622991752 3169448367 3278739690 3934487628 4225931156 4371652920 4918109535 5282413945 6338896734 6557479380 7868975256 8451862312 9508345101 9836219070 10564827890 12677793468 13114958760 15847241835 19016690202 19672438140 21129655780 25355586936 28525035303 31694483670 38033380404 39344876280 42259311560 47541725505 57050070606 63388967340 76066760808 95083451010 114100141212 126777934680 142625176515 190166902020 228200282424 285250353030 380333804040 570500706060 1141001412120