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121201102020999 = 3711133710110800109
BaseRepresentation
bin11011100011101101010100…
…101000011110000110000111
3120220010201020012010121112110
4123203231110220132012013
5111341224324104132444
61105435003445352103
734346330203001340
oct3343552450360607
9526121205117473
10121201102020999
113568910a425a60
1211715703a08633
1352822a41221c0
1421d0243aa10c7
15e02abae75cb9
hex6e3b54a1e187

121201102020999 has 128 divisors (see below), whose sum is σ = 225045952911360. Its totient is φ = 55987759872000.

The previous prime is 121201102020961. The next prime is 121201102021009. The reversal of 121201102020999 is 999020201102121.

It is a happy number.

It is not a de Polignac number, because 121201102020999 - 212 = 121201102016903 is a prime.

It is a super-2 number, since 2×1212011020209992 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201102020919) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5822157 + ... + 16622265.

It is an arithmetic number, because the mean of its divisors is an integer number (1758171507120).

Almost surely, 2121201102020999 is an apocalyptic number.

121201102020999 is a deficient number, since it is larger than the sum of its proper divisors (103844850890361).

121201102020999 is a wasteful number, since it uses less digits than its factorization.

121201102020999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10800281.

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 121201102020999 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred two million, twenty thousand, nine hundred ninety-nine".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 101 111 143 231 259 273 303 407 429 481 707 777 1001 1111 1221 1313 1443 2121 2849 3003 3333 3367 3737 3939 5291 7777 8547 9191 10101 11211 14443 15873 23331 26159 27573 37037 41107 43329 48581 78477 101101 111111 123321 145743 287749 303303 340067 534391 863247 1020201 1603173 3740737 10800109 11222211 32400327 75600763 118801199 140401417 226802289 356403597 399604033 421204251 831608393 982809919 1090811009 1198812099 1544415587 2494825179 2797228231 2948429757 3272433027 4395644363 4633246761 5194852429 7635677063 8391684693 10810909109 11998921099 13186933089 14180543117 15584557287 22907031189 30769510541 32432727327 35996763297 36363967003 40360007333 42541629351 57143376719 83992447693 92308531623 99263801819 109091901009 121080021999 155985974287 171430130157 251977343079 282520051331 297791405457 400003637033 443960080663 467957922861 524680095329 847560153993 1091901820009 1200010911099 1331880241989 1574040285987 3107720564641 3275705460027 3672760667303 5771481048619 9323161693923 11018282001909 17314443145857 40400367340333 121201102020999