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1212210120100 = 2252779178912253
BaseRepresentation
bin10001101000111101010…
…110101000010110100100
311021212221000012110220211
4101220331112220112210
5124330101242320400
62324514233505204
7153402461003560
oct21507526502644
94255830173824
101212210120100
11428106013041
12176b26872204
138a40713ac45
14429580006a0
15217ebb13dba
hex11a3d5a85a4

1212210120100 has 144 divisors (see below), whose sum is σ = 3046285580800. Its totient is φ = 410091102720.

The previous prime is 1212210120089. The next prime is 1212210120119. The reversal of 1212210120100 is 10210122121.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 98925574 + ... + 98937826.

Almost surely, 21212210120100 is an apocalyptic number.

1212210120100 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 1212210120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523142790400).

1212210120100 is an abundant number, since it is smaller than the sum of its proper divisors (1834075460700).

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

1212210120100 is a wasteful number, since it uses less digits than its factorization.

1212210120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14142 (or 14135 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1212210120100 its reverse (10210122121), we get a palindrome (1222420242221).

The spelling of 1212210120100 in words is "one trillion, two hundred twelve billion, two hundred ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 316 350 395 553 700 790 1106 1580 1789 1975 2212 2765 3578 3950 5530 7156 7900 8945 11060 12253 12523 13825 17890 24506 25046 27650 35780 44725 49012 50092 55300 61265 62615 85771 89450 122530 125230 141331 171542 178900 245060 250460 282662 306325 313075 343084 428855 565324 612650 626150 706655 857710 967987 989317 1225300 1252300 1413310 1715420 1935974 1978634 2144275 2826620 3533275 3871948 3957268 4288550 4839935 4946585 6775909 7066550 8577100 9679870 9893170 13551818 14133100 19359740 19786340 21920617 24199675 24732925 27103636 33879545 43841234 48399350 49465850 67759090 87682468 96798700 98931700 109603085 135518180 153444319 169397725 219206170 306888638 338795450 438412340 548015425 613777276 677590900 767221595 1096030850 1534443190 1731728743 2192061700 3068886380 3463457486 3836107975 6926914972 7672215950 8658643715 12122101201 15344431900 17317287430 24244202402 34634574860 43293218575 48488404804 60610506005 86586437150 121221012010 173172874300 242442024020 303052530025 606105060050 1212210120100