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20121221160 = 23325192941699
BaseRepresentation
bin10010101111010100…
…010111100000101000
31220221021121221102100
4102233110113200220
5312202013034120
613124335333400
71311423362235
oct225724274050
956837557370
1020121221160
1185959a52a7
123a96681260
131b8883b631
14d8c43c78c
157cb713490
hex4af517828

20121221160 has 96 divisors (see below), whose sum is σ = 68835780000. Its totient is φ = 5083254144.

The previous prime is 20121221137. The next prime is 20121221161. The reversal of 20121221160 is 6112212102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20121221161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464010 + ... + 1477689.

It is an arithmetic number, because the mean of its divisors is an integer number (717039375).

Almost surely, 220121221160 is an apocalyptic number.

20121221160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121221160 is an abundant number, since it is smaller than the sum of its proper divisors (48714558840).

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

20121221160 is a wasteful number, since it uses less digits than its factorization.

20121221160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941735 (or 2941728 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20121221160 its reverse (6112212102), we get a palindrome (26233433262).

The spelling of 20121221160 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 2941699 5883398 8825097 11766796 14708495 17650194 23533592 26475291 29416990 35300388 44125485 52950582 55892281 58833980 70600776 88250970 105901164 111784562 117667960 132376455 167676843 176501940 211802328 223569124 264752910 279461405 335353686 353003880 447138248 503030529 529505820 558922810 670707372 838384215 1006061058 1059011640 1117845620 1341414744 1676768430 2012122116 2235691240 2515152645 3353536860 4024244232 5030305290 6707073720 10060610580 20121221160