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121132201320 = 233251325882949
BaseRepresentation
bin111000011010000001…
…0101011010101101000
3102120122220121101201200
41300310002223111220
53441034320420240
6131351455244200
711515524502614
oct1606402532550
9376586541650
10121132201320
114740aa73799
121b586b19660
13b565930c90
145c11868344
15323e59c930
hex1c340ab568

121132201320 has 96 divisors (see below), whose sum is σ = 423962721000. Its totient is φ = 29817156096.

The previous prime is 121132201297. The next prime is 121132201331. The reversal of 121132201320 is 23102231121.

121132201320 is a `hidden beast` number, since 1 + 21 + 1 + 322 + 0 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66883269924 + 54248931396 = 258618^2 + 232914^2 .

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 = 121132201293 and 121132201302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12936795 + ... + 12946154.

Almost surely, 2121132201320 is an apocalyptic number.

121132201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121132201320 is an abundant number, since it is smaller than the sum of its proper divisors (302830519680).

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

121132201320 is a wasteful number, since it uses less digits than its factorization.

121132201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25882979 (or 25882972 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121132201320 its reverse (23102231121), we get a palindrome (144234432441).

The spelling of 121132201320 in words is "one hundred twenty-one billion, one hundred thirty-two million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 25882949 51765898 77648847 103531796 129414745 155297694 207063592 232946541 258829490 310595388 336478337 388244235 465893082 517658980 621190776 672956674 776488470 931786164 1009435011 1035317960 1164732705 1345913348 1552976940 1682391685 1863572328 2018870022 2329465410 2691826696 3028305033 3105953880 3364783370 4037740044 4658930820 5047175055 6056610066 6729566740 8075480088 9317861640 10094350110 12113220132 13459133480 15141525165 20188700220 24226440264 30283050330 40377400440 60566100660 121132201320