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1222121200020 = 223572429796739
BaseRepresentation
bin10001110010001100000…
…110011001100110010100
311022211111201122111121220
4101302030012121212110
5130010401011400040
62333233522410340
7154203205541400
oct21621406314624
94284451574556
101222121200020
11431331614086
12178a31b009b0
138b326593b86
1443218418100
1521bcbcaa2d0
hex11c8c199994

1222121200020 has 144 divisors (see below), whose sum is σ = 3981590867520. Its totient is φ = 279274093056.

The previous prime is 1222121199991. The next prime is 1222121200039. The reversal of 1222121200020 is 200021212221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12584811 + ... + 12681549.

It is an arithmetic number, because the mean of its divisors is an integer number (27649936580).

Almost surely, 21222121200020 is an apocalyptic number.

1222121200020 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 1222121200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990795433760).

1222121200020 is an abundant number, since it is smaller than the sum of its proper divisors (2759469667500).

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

1222121200020 is a wasteful number, since it uses less digits than its factorization.

1222121200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101062 (or 101053 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1222121200020 its reverse (200021212221), we get a palindrome (1422142412241).

It can be divided in two parts, 1222121 and 200020, that added together give a triangular number (1422141 = T1686).

The spelling of 1222121200020 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 4297 8594 12891 17188 21485 25782 30079 42970 51564 60158 64455 85940 90237 96739 120316 128910 150395 180474 193478 210553 257820 290217 300790 360948 386956 421106 451185 483695 580434 601580 631659 677173 842212 902370 967390 1052765 1160868 1263318 1354346 1451085 1804740 1934780 2031519 2105530 2526636 2708692 2902170 3158295 3385865 4063038 4211060 4740211 5804340 6316590 6771730 8126076 9480422 10157595 12633180 13543460 14220633 18960844 20315190 23701055 28441266 40630380 47402110 56882532 71103165 94804220 142206330 284412660 415687483 831374966 1247062449 1662749932 2078437415 2494124898 2909812381 4156874830 4988249796 5819624762 6235312245 8313749660 8729437143 11639249524 12470624490 14549061905 17458874286 20368686667 24941248980 29098123810 34917748572 40737373334 43647185715 58196247620 61106060001 81474746668 87294371430 101843433335 122212120002 174588742860 203686866670 244424240004 305530300005 407373733340 611060600010 1222121200020