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121445034762112 = 2719671263758979
BaseRepresentation
bin11011100111010000100000…
…001010000001111110000000
3120221000000212021121210010121
4123213100200022001332000
5111404223412344341422
61110143025002510024
734403054114043565
oct3347204012017600
9527000767553117
10121445034762112
113577260606a866
1211754a40505314
13529c2aa1c6379
1421dbd8479686c
15e090e62bd8c7
hex6e7420281f80

121445034762112 has 128 divisors (see below), whose sum is σ = 258500988432000. Its totient is φ = 56662544480256.

The previous prime is 121445034762083. The next prime is 121445034762197. The reversal of 121445034762112 is 211267430544121.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2059093839 + ... + 2059152817.

It is an arithmetic number, because the mean of its divisors is an integer number (2019538972125).

Almost surely, 2121445034762112 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 121445034762112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129250494216000).

121445034762112 is an abundant number, since it is smaller than the sum of its proper divisors (137055953669888).

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

121445034762112 is a wasteful number, since it uses less digits than its factorization.

121445034762112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71716 (or 71704 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 121445034762112 in words is "one hundred twenty-one trillion, four hundred forty-five billion, thirty-four million, seven hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 128 134 152 268 304 536 608 1072 1216 1273 2144 2432 2546 4288 5092 8576 10184 12637 20368 25274 40736 50548 58979 81472 101096 117958 162944 202192 235916 240103 404384 471832 480206 808768 846679 943664 960412 1120601 1617536 1693358 1887328 1920824 2241202 3386716 3774656 3841648 3951593 4482404 6773432 7549312 7683296 7903186 8964808 13546864 15366592 15806372 16086901 17929616 27093728 30733184 31612744 32173802 35859232 54187456 63225488 64347604 71718464 75080267 108374912 126450976 128695208 143436928 150160534 252901952 257390416 300321068 505803904 514780832 600642136 745317623 1029561664 1201284272 1490635246 2059123328 2402568544 2981270492 4805137088 5962540984 9610274176 11925081968 14161034837 23850163936 28322069674 47700327872 49936280741 56644139348 95400655744 99872561482 113288278696 199745122964 226576557392 399490245928 453153114784 798980491856 906306229568 948789334079 1597960983712 1812612459136 1897578668158 3195921967424 3795157336316 6391843934848 7590314672632 15180629345264 30361258690528 60722517381056 121445034762112