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12020223020100 = 22352114113511297
BaseRepresentation
bin1010111011101010110100…
…0111111000110001000100
31120120010022000020222002220
42232322231013320301010
53033414404043120400
641322003023332340
72350301221601541
oct256725507706104
946503260228086
1012020223020100
11391482558a159
1214217244510b0
1369266b351779
142d7ad3759bc8
1515ca185417a0
hexaeead1f8c44

12020223020100 has 72 divisors (see below), whose sum is σ = 34781569649568. Its totient is φ = 3205110988800.

The previous prime is 12020223020081. The next prime is 12020223020107. The reversal of 12020223020100 is 102032202021.

It is a happy number.

It is a super-2 number, since 2×120202230201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12020223020100.

It is not an unprimeable number, because it can be changed into a prime (12020223020107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1667652 + ... + 5178948.

It is an arithmetic number, because the mean of its divisors is an integer number (483077356244).

Almost surely, 212020223020100 is an apocalyptic number.

12020223020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020223020100 is an abundant number, since it is smaller than the sum of its proper divisors (22761346629468).

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

12020223020100 is a wasteful number, since it uses less digits than its factorization.

12020223020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522725 (or 3522718 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12020223020100 its reverse (102032202021), we get a palindrome (12122255222121).

The spelling of 12020223020100 in words is "twelve trillion, twenty billion, two hundred twenty-three million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 11411 22822 34233 45644 57055 68466 114110 136932 171165 228220 285275 342330 570550 684660 855825 1141100 1711650 3423300 3511297 7022594 10533891 14045188 17556485 21067782 35112970 42135564 52669455 70225940 87782425 105338910 175564850 210677820 263347275 351129700 526694550 1053389100 40067410067 80134820134 120202230201 160269640268 200337050335 240404460402 400674100670 480808920804 601011151005 801348201340 1001685251675 1202022302010 2003370503350 2404044604020 3005055755025 4006741006700 6010111510050 12020223020100