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20221220221120 = 265193325858589
BaseRepresentation
bin1001001100100000111101…
…01001011111000011000000
32122121010111121100010002201
410212100132221133003000
510122301024334033440
6111001300023122544
74154635454620522
oct446203651370300
978533447303081
1020221220221120
116496853715466
1223270118a3454
13b38b11a31c69
144dc9d86d9a12
1525100125819a
hex12641ea5f0c0

20221220221120 has 56 divisors (see below), whose sum is σ = 50686084911600. Its totient is φ = 7662778186752.

The previous prime is 20221220221091. The next prime is 20221220221127. The reversal of 20221220221120 is 2112202212202.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (20221220221127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1662923215 + ... + 1662935374.

Almost surely, 220221220221120 is an apocalyptic number.

20221220221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221220221120 is an abundant number, since it is smaller than the sum of its proper divisors (30464864690480).

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

20221220221120 is a wasteful number, since it uses less digits than its factorization.

20221220221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325858625 (or 3325858615 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20221220221120 its reverse (2112202212202), we get a palindrome (22333422433322).

The spelling of 20221220221120 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 3325858589 6651717178 13303434356 16629292945 26606868712 33258585890 53213737424 63191313191 66517171780 106427474848 126382626382 133034343560 212854949696 252765252764 266068687120 315956565955 505530505528 532137374240 631913131910 1011061011056 1064274748480 1263826263820 2022122022112 2527652527640 4044244044224 5055305055280 10110610110560 20221220221120