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1212120101100 = 2235271109522083
BaseRepresentation
bin10001101000110111111…
…111001111000011101100
311021212200201211001001210
4101220313333033003230
5124324410221213400
62324501300234420
7153400315601526
oct21506777170354
94255621731053
101212120101100
1142806a219477
12176b0069ba10
138a3c15b046c
144294a08aa16
15217e3c81950
hex11a37fcf0ec

1212120101100 has 144 divisors (see below), whose sum is σ = 3589097783040. Its totient is φ = 315755193600.

The previous prime is 1212120101099. The next prime is 1212120101147. The reversal of 1212120101100 is 11010212121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2060659 + ... + 2582741.

It is an arithmetic number, because the mean of its divisors is an integer number (24924290160).

Almost surely, 21212120101100 is an apocalyptic number.

1212120101100 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 1212120101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794548891520).

1212120101100 is an abundant number, since it is smaller than the sum of its proper divisors (2376977681940).

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

1212120101100 is a wasteful number, since it uses less digits than its factorization.

1212120101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522280 (or 522273 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1212120101100 its reverse (11010212121), we get a palindrome (1223130313221).

The spelling of 1212120101100 in words is "one trillion, two hundred twelve billion, one hundred twenty million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 109 142 150 213 218 284 300 327 355 426 436 545 654 710 852 1065 1090 1308 1420 1635 1775 2130 2180 2725 3270 3550 4260 5325 5450 6540 7100 7739 8175 10650 10900 15478 16350 21300 23217 30956 32700 38695 46434 77390 92868 116085 154780 193475 232170 386950 464340 522083 580425 773900 1044166 1160850 1566249 2088332 2321700 2610415 3132498 5220830 6264996 7831245 10441660 13052075 15662490 26104150 31324980 37067893 39156225 52208300 56907047 74135786 78312450 111203679 113814094 148271572 156624900 170721141 185339465 222407358 227628188 284535235 341442282 370678930 444814716 556018395 569070470 682884564 741357860 853605705 926697325 1112036790 1138140940 1422676175 1707211410 1853394650 2224073580 2780091975 2845352350 3414422820 3706789300 4040400337 4268028525 5560183950 5690704700 8080800674 8536057050 11120367900 12121201011 16161601348 17072114100 20202001685 24242402022 40404003370 48484804044 60606005055 80808006740 101010008425 121212010110 202020016850 242424020220 303030025275 404040033700 606060050550 1212120101100