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121201022012112 = 24327808714868197
BaseRepresentation
bin11011100011101101001111…
…110111010000101011010000
3120220010201000121120201222100
4123203231033313100223100
5111341224143113341422
61105434551510440400
734346325211640310
oct3343551767205320
9526121017521870
10121201022012112
1135689079249109
12117156a1063100
13528229068aa73
1421d02371d5440
15e02ab3e1e7ac
hex6e3b4fdd0ad0

121201022012112 has 120 divisors (see below), whose sum is σ = 387698849006976. Its totient is φ = 34624579062528.

The previous prime is 121201022012111. The next prime is 121201022012113. The reversal of 121201022012112 is 211210220102121.

121201022012112 is a `hidden beast` number, since 121 + 201 + 0 + 220 + 12 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (121201022012111) and next prime (121201022012113).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201022012111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717598 + ... + 15585794.

Almost surely, 2121201022012112 is an apocalyptic number.

121201022012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121201022012112 is an abundant number, since it is smaller than the sum of its proper divisors (266497826994864).

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

121201022012112 is a wasteful number, since it uses less digits than its factorization.

121201022012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14876305 (or 14876296 counting only the distinct ones).

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

Adding to 121201022012112 its reverse (211210220102121), we get a palindrome (332411242114233).

The spelling of 121201022012112 in words is "one hundred twenty-one trillion, two hundred one billion, twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 8087 16174 24261 32348 48522 56609 64696 72783 97044 113218 129392 145566 169827 194088 226436 291132 339654 388176 452872 509481 582264 679308 905744 1018962 1164528 1358616 2037924 2717232 4075848 8151696 14868197 29736394 44604591 59472788 89209182 104077379 118945576 133813773 178418364 208154758 237891152 267627546 312232137 356836728 416309516 535255092 624464274 713673456 832619032 936696411 1070510184 1248928548 1665238064 1873392822 2141020368 2497857096 3746785644 4995714192 7493571288 14987142576 120239109139 240478218278 360717327417 480956436556 721434654834 841673763973 961912873112 1082151982251 1442869309668 1683347527946 1923825746224 2164303964502 2525021291919 2885738619336 3366695055892 4328607929004 5050042583838 5771477238672 6733390111784 7575063875757 8657215858008 10100085167676 13466780223568 15150127751514 17314431716016 20200170335352 30300255503028 40400340670704 60600511006056 121201022012112