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20222012120000 = 26542112395973
BaseRepresentation
bin1001001100100010011011…
…10110010101101111000000
32122121012112210102202010212
410212101031312111233000
510122304140100320000
6111001510352213252
74154664211633565
oct446211566255700
978535483382125
1020222012120000
11649711a722849
1223271b2b3a228
13b38c09b09692
144dca7195686c
1525104aa2ec35
hex12644dd95bc0

20222012120000 has 140 divisors (see below), whose sum is σ = 50381688305256. Its totient is φ = 8050465920000.

The previous prime is 20222012119979. The next prime is 20222012120029. The reversal of 20222012120000 is 2121022202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7242014 + ... + 9637986.

Almost surely, 220222012120000 is an apocalyptic number.

20222012120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25190844152628).

20222012120000 is an abundant number, since it is smaller than the sum of its proper divisors (30159676185256).

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

20222012120000 is an equidigital number, since it uses as much as digits as its factorization.

20222012120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396216 (or 2396191 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20222012120000 its reverse (2121022202), we get a palindrome (20224133142202).

The spelling of 20222012120000 in words is "twenty trillion, two hundred twenty-two billion, twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 211 250 320 400 422 500 625 800 844 1000 1055 1250 1600 1688 2000 2110 2500 3376 4000 4220 5000 5275 6752 8000 8440 10000 10550 13504 16880 20000 21100 26375 33760 40000 42200 52750 67520 84400 105500 131875 168800 211000 263750 337600 422000 527500 844000 1055000 1688000 2110000 2395973 4220000 4791946 8440000 9583892 11979865 19167784 23959730 38335568 47919460 59899325 76671136 95838920 119798650 153342272 191677840 239597300 299496625 383355680 479194600 505550303 598993250 766711360 958389200 1011100606 1197986500 1497483125 1916778400 2022201212 2395973000 2527751515 2994966250 3833556800 4044402424 4791946000 5055503030 5989932500 8088804848 9583892000 10111006060 11979865000 12638757575 16177609696 19167784000 20222012120 23959730000 25277515150 32355219392 40444024240 47919460000 50555030300 63193787875 80888048480 95838920000 101110060600 126387575750 161776096960 202220121200 252775151500 315968939375 404440242400 505550303000 631937878750 808880484800 1011100606000 1263875757500 2022201212000 2527751515000 4044402424000 5055503030000 10111006060000 20222012120000