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21220110112000 = 28532932263237
BaseRepresentation
bin1001101001100101100010…
…01000000001010100000000
32210010121210221220011011011
410310302301020001110000
510240132241142041000
6113044214540130304
74320050052611032
oct464626110012400
983117727804134
1021220110112000
116841441a509a8
122468723b36994
13bac08101a6a7
145350b7531c52
1526beb52dd2ba
hex134cb1201500

21220110112000 has 144 divisors (see below), whose sum is σ = 53042386439952. Its totient is φ = 8459070873600.

The previous prime is 21220110111971. The next prime is 21220110112021. The reversal of 21220110112000 is 21101102212.

It can be written as a sum of positive squares in 8 ways, for example, as 6442174964736 + 14777935147264 = 2538144^2 + 3844208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8244382 + ... + 10507618.

It is an arithmetic number, because the mean of its divisors is an integer number (368349905833).

Almost surely, 221220110112000 is an apocalyptic number.

21220110112000 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 21220110112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26521193219976).

21220110112000 is an abundant number, since it is smaller than the sum of its proper divisors (31822276327952).

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

21220110112000 is an equidigital number, since it uses as much as digits as its factorization.

21220110112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263561 (or 2263537 counting only the distinct ones).

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

Adding to 21220110112000 its reverse (21101102212), we get a palindrome (21241211214212).

The spelling of 21220110112000 in words is "twenty-one trillion, two hundred twenty billion, one hundred ten million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 293 320 400 500 586 640 800 1000 1172 1280 1465 1600 2000 2344 2930 3200 4000 4688 5860 6400 7325 8000 9376 11720 14650 16000 18752 23440 29300 32000 36625 37504 46880 58600 73250 75008 93760 117200 146500 187520 234400 293000 375040 468800 586000 937600 1172000 1875200 2263237 2344000 4526474 4688000 9052948 9376000 11316185 18105896 22632370 36211792 45264740 56580925 72423584 90529480 113161850 144847168 181058960 226323700 282904625 289694336 362117920 452647400 565809250 579388672 663128441 724235840 905294800 1131618500 1326256882 1448471680 1810589600 2263237000 2652513764 2896943360 3315642205 3621179200 4526474000 5305027528 6631284410 7242358400 9052948000 10610055056 13262568820 14484716800 16578211025 18105896000 21220110112 26525137640 33156422050 36211792000 42440220224 53050275280 66312844100 72423584000 82891055125 84880440448 106100550560 132625688200 165782110250 169760880896 212201101120 265251376400 331564220500 424402202240 530502752800 663128441000 848804404480 1061005505600 1326256882000 2122011011200 2652513764000 4244022022400 5305027528000 10610055056000 21220110112000