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12020212111100 = 225210110131174847
BaseRepresentation
bin1010111011101010110001…
…1110010001011011111100
31120120010021020201201202212
42232322230132101123330
53033414343300023400
641322001553435552
72350301030065064
oct256725436213374
946503236651685
1012020212111100
11391481a409056
12142172086bbb8
1369266900223b
142d7ad211a3a4
1515ca175d9335
hexaeeac7916fc

12020212111100 has 72 divisors (see below), whose sum is σ = 26368142830848. Its totient is φ = 4755776608000.

The previous prime is 12020212111069. The next prime is 12020212111111. The reversal of 12020212111100 is 111121202021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9643877 + ... + 10818723.

It is an arithmetic number, because the mean of its divisors is an integer number (366224205984).

Almost surely, 212020212111100 is an apocalyptic number.

12020212111100 is a gapful number since it is divisible by the number (10) 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 12020212111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184071415424).

12020212111100 is an abundant number, since it is smaller than the sum of its proper divisors (14347930719748).

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

12020212111100 is a wasteful number, since it uses less digits than its factorization.

12020212111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175975 (or 1175968 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12020212111100 its reverse (111121202021), we get a palindrome (12131333313121).

The spelling of 12020212111100 in words is "twelve trillion, twenty billion, two hundred twelve million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 1013 2020 2026 2525 4052 5050 5065 10100 10130 20260 25325 50650 101300 102313 204626 409252 511565 1023130 1174847 2046260 2349694 2557825 4699388 5115650 5874235 10231300 11748470 23496940 29371175 58742350 117484700 118659547 237319094 474638188 593297735 1186595470 1190120011 2373190940 2380240022 2966488675 4760480044 5932977350 5950600055 11865954700 11901200110 23802400220 29753000275 59506000550 119012001100 120202121111 240404242222 480808484444 601010605555 1202021211110 2404042422220 3005053027775 6010106055550 12020212111100