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1222210021120 = 2851196789767
BaseRepresentation
bin10001110010010001011…
…001001110011100000000
311022211201220210002021021
4101302101121032130000
5130011041231133440
62333250414235224
7154205334524134
oct21622131163400
94284656702237
101222210021120
1143137776a750
12178a577b5b14
138b33bac233a
14432261393c4
1521bd49a284a
hex11c9164e700

1222210021120 has 144 divisors (see below), whose sum is σ = 3197056439808. Its totient is φ = 443975454720.

The previous prime is 1222210021061. The next prime is 1222210021139. The reversal of 1222210021120 is 211200122221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1222210021094 and 1222210021103.

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, 13570477 + ... + 13660243.

It is an arithmetic number, because the mean of its divisors is an integer number (22201780832).

Almost surely, 21222210021120 is an apocalyptic number.

1222210021120 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 1222210021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598528219904).

1222210021120 is an abundant number, since it is smaller than the sum of its proper divisors (1974846418688).

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

1222210021120 is an equidigital number, since it uses as much as digits as its factorization.

1222210021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90766 (or 90752 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1222210021120 its reverse (211200122221), we get a palindrome (1433410143341).

The spelling of 1222210021120 in words is "one trillion, two hundred twenty-two billion, two hundred ten million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 967 1280 1408 1760 1934 2816 3520 3868 4835 7040 7736 9670 10637 14080 15472 19340 21274 30944 38680 42548 53185 61888 77360 85096 89767 106370 123776 154720 170192 179534 212740 247552 309440 340384 359068 425480 448835 618880 680768 718136 850960 897670 987437 1237760 1361536 1436272 1701920 1795340 1974874 2723072 2872544 3403840 3590680 3949748 4937185 5745088 6807680 7181360 7899496 9874370 11490176 13615360 14362720 15798992 19748740 22980352 28725440 31597984 39497480 57450880 63195968 78994960 86804689 114901760 126391936 157989920 173609378 252783872 315979840 347218756 434023445 631959680 694437512 868046890 954851579 1263919360 1388875024 1736093780 1909703158 2777750048 3472187560 3819406316 4774257895 5555500096 6944375120 7638812632 9548515790 11111000192 13888750240 15277625264 19097031580 22222000384 27777500480 30555250528 38194063160 55555000960 61110501056 76388126320 111110001920 122221002112 152776252640 244442004224 305552505280 611105010560 1222210021120