Search a number
-
+
1220440404120 = 233571976468697
BaseRepresentation
bin10001110000100111111…
…010101011000010011000
311022200011120221020002220
4101300213322223002120
5124443430220412440
62332355041224040
7154113436161660
oct21604772530230
94280146836086
101220440404120
11430649878263
12178643032020
138b1192ac6a2
14430d90d11a0
1521b2e44b8d0
hex11c27eab098

1220440404120 has 128 divisors (see below), whose sum is σ = 4404597004800. Its totient is φ = 264275813376.

The previous prime is 1220440404103. The next prime is 1220440404121. The reversal of 1220440404120 is 214040440221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220440404121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38218389 + ... + 38250308.

It is an arithmetic number, because the mean of its divisors is an integer number (34410914100).

Almost surely, 21220440404120 is an apocalyptic number.

1220440404120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220440404120 is an abundant number, since it is smaller than the sum of its proper divisors (3184156600680).

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

1220440404120 is a wasteful number, since it uses less digits than its factorization.

1220440404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76468737 (or 76468733 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1220440404120 its reverse (214040440221), we get a palindrome (1434480844341).

The spelling of 1220440404120 in words is "one trillion, two hundred twenty billion, four hundred forty million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 76468697 152937394 229406091 305874788 382343485 458812182 535280879 611749576 764686970 917624364 1070561758 1147030455 1452905243 1529373940 1605842637 1835248728 2141123516 2294060910 2676404395 2905810486 3058747880 3211685274 4282247032 4358715729 4588121820 5352808790 5811620972 6423370548 7264526215 8029213185 8717431458 9176243640 10170336701 10705617580 11623241944 12846741096 14529052430 16058426370 17434862916 20340673402 21411235160 21793578645 29058104860 30511010103 32116852740 34869725832 40681346804 43587157290 50851683505 58116209720 61022020206 64233705480 81362693608 87174314580 101703367010 122044040412 152555050515 174348629160 203406734020 244088080824 305110101030 406813468040 610220202060 1220440404120