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121312013220 = 223253718215017
BaseRepresentation
bin111000011111011000…
…0100110101110100100
3102121010102221210021200
41300332300212232210
53441421333410340
6131421401242500
711523140045556
oct1607660465644
9377112853250
10121312013220
11474a2518072
121b617193430
13b593c6a358
145c2b6b34d6
15325026a330
hex1c3ec26ba4

121312013220 has 72 divisors (see below), whose sum is σ = 377925193464. Its totient is φ = 31475547648.

The previous prime is 121312013197. The next prime is 121312013239. The reversal of 121312013220 is 22310213121.

121312013220 is a `hidden beast` number, since 12 + 131 + 201 + 322 + 0 = 666.

121312013220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36781102656 + 84530910564 = 191784^2 + 290742^2 .

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 = 121312013193 and 121312013202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9100849 + ... + 9114168.

Almost surely, 2121312013220 is an apocalyptic number.

121312013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121312013220 is an abundant number, since it is smaller than the sum of its proper divisors (256613180244).

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

121312013220 is a wasteful number, since it uses less digits than its factorization.

121312013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18215069 (or 18215064 counting only the distinct ones).

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

Adding to 121312013220 its reverse (22310213121), we get a palindrome (143622226341).

The spelling of 121312013220 in words is "one hundred twenty-one billion, three hundred twelve million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 18215017 36430034 54645051 72860068 91075085 109290102 163935153 182150170 218580204 273225255 327870306 364300340 546450510 655740612 673955629 819675765 1092901020 1347911258 1639351530 2021866887 2695822516 3278703060 3369778145 4043733774 6065600661 6739556290 8087467548 10109334435 12131201322 13479112580 20218668870 24262402644 30328003305 40437337740 60656006610 121312013220