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121013212302320 = 24513140627827429
BaseRepresentation
bin11011100000111110010101…
…100010000100101111110000
3120212110202020211110221220212
4123200332111202010233300
5111330140024322133240
61105212411404523252
734326626132514062
oct3340762542045760
9525422224427825
10121013212302320
113561646259a418
12116a5207b50528
13526a65ca6ac80
1421c50dc107732
15decc70ca8165
hex6e0f95884bf0

121013212302320 has 80 divisors (see below), whose sum is σ = 303000987008160. Its totient is φ = 44681429732352.

The previous prime is 121013212302313. The next prime is 121013212302407. The reversal of 121013212302320 is 23203212310121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145838366 + ... + 146665794.

It is an arithmetic number, because the mean of its divisors is an integer number (3787512337602).

Almost surely, 2121013212302320 is an apocalyptic number.

121013212302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121013212302320 is an abundant number, since it is smaller than the sum of its proper divisors (181987774705840).

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

121013212302320 is a wasteful number, since it uses less digits than its factorization.

121013212302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968082 (or 968076 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 121013212302320 its reverse (23203212310121), we get a palindrome (144216424612441).

The spelling of 121013212302320 in words is "one hundred twenty-one trillion, thirteen billion, two hundred twelve million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 140627 281254 562508 703135 827429 1125016 1406270 1654858 1828151 2250032 2812540 3309716 3656302 4137145 5625080 6619432 7312604 8274290 9140755 10756577 11250160 13238864 14625208 16548580 18281510 21513154 29250416 33097160 36563020 43026308 53782885 66194320 73126040 86052616 107565770 146252080 172105232 215131540 430263080 860526160 116358857983 232717715966 465435431932 581794289915 930870863864 1163588579830 1512665153779 1861741727728 2327177159660 3025330307558 4654354319320 6050660615116 7563325768895 9308708638640 12101321230232 15126651537790 24202642460464 30253303075580 60506606151160 121013212302320