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121201313220 = 223251351795433
BaseRepresentation
bin111000011100000101…
…0010100010111000100
3102120211201122122102200
41300320022110113010
53441210014010340
6131402404434500
711520324110211
oct1607012242704
9376751578380
10121201313220
1147445a88569
121b5a60a8a30
13b57704b4b0
145c1aad8b08
1532456a0330
hex1c382945c4

121201313220 has 72 divisors (see below), whose sum is σ = 395924297496. Its totient is φ = 29834168832.

The previous prime is 121201313201. The next prime is 121201313239. The reversal of 121201313220 is 22313102121.

121201313220 is a `hidden beast` number, since 1 + 212 + 0 + 131 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121201313201) and next prime (121201313239).

It can be written as a sum of positive squares in 4 ways, for example, as 11908920384 + 109292392836 = 109128^2 + 330594^2 .

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 = 121201313193 and 121201313202.

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, 25895377 + ... + 25900056.

Almost surely, 2121201313220 is an apocalyptic number.

121201313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121201313220 is an abundant number, since it is smaller than the sum of its proper divisors (274722984276).

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

121201313220 is a wasteful number, since it uses less digits than its factorization.

121201313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51795461 (or 51795456 counting only the distinct ones).

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

Adding to 121201313220 its reverse (22313102121), we get a palindrome (143514415341).

The spelling of 121201313220 in words is "one hundred twenty-one billion, two hundred one million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 51795433 103590866 155386299 207181732 258977165 310772598 466158897 517954330 621545196 673340629 776931495 932317794 1035908660 1346681258 1553862990 1864635588 2020021887 2330794485 2693362516 3107725980 3366703145 4040043774 4661588970 6060065661 6733406290 8080087548 9323177940 10100109435 12120131322 13466812580 20200218870 24240262644 30300328305 40400437740 60600656610 121201313220