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121331202120 = 23325856339359
BaseRepresentation
bin111000011111111100…
…1110011100001001000
3102121011210001200111200
41300333321303201020
53441441241431440
6131423324424200
711523462126102
oct1607771634110
9377153050450
10121331202120
1147502333a67
121b6216a8060
13b597c2852b
145c3006a572
153251caac30
hex1c3fe73848

121331202120 has 96 divisors (see below), whose sum is σ = 394382476800. Its totient is φ = 32350386816.

The previous prime is 121331202101. The next prime is 121331202169. The reversal of 121331202120 is 21202133121.

121331202120 is a `hidden beast` number, since 12 + 1 + 331 + 202 + 120 = 666.

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 = 121331202093 and 121331202102.

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, 3063001 + ... + 3102359.

It is an arithmetic number, because the mean of its divisors is an integer number (4108150800).

Almost surely, 2121331202120 is an apocalyptic number.

121331202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121331202120 is an abundant number, since it is smaller than the sum of its proper divisors (273051274680).

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

121331202120 is a wasteful number, since it uses less digits than its factorization.

121331202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47939 (or 47932 counting only the distinct ones).

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

Adding to 121331202120 its reverse (21202133121), we get a palindrome (142533335241).

The spelling of 121331202120 in words is "one hundred twenty-one billion, three hundred thirty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8563 17126 25689 34252 39359 42815 51378 68504 77067 78718 85630 102756 118077 128445 154134 157436 171260 196795 205512 236154 256890 308268 314872 342520 354231 385335 393590 472308 513780 590385 616536 708462 770670 787180 944616 1027560 1180770 1416924 1541340 1574360 1771155 2361540 2833848 3082680 3542310 4723080 7084620 14169240 337031117 674062234 1011093351 1348124468 1685155585 2022186702 2696248936 3033280053 3370311170 4044373404 5055466755 6066560106 6740622340 8088746808 10110933510 12133120212 13481244680 15166400265 20221867020 24266240424 30332800530 40443734040 60665601060 121331202120