Search a number
-
+
1220000222120 = 235711014439601
BaseRepresentation
bin10001110000001101101…
…011100000101110101000
311022122000220122122220212
4101300031223200232220
5124442030024101440
62332243234440252
7154066512533351
oct21601553405650
94278026578825
101220000222120
11430443357a89
1217853b733088
138b07903c774
144309686ad28
1521b0599c465
hex11c0dae0ba8

1220000222120 has 128 divisors (see below), whose sum is σ = 2817862836480. Its totient is φ = 475238400000.

The previous prime is 1220000222087. The next prime is 1220000222143. The reversal of 1220000222120 is 212220000221.

It is a junction number, because it is equal to n+sod(n) for n = 1220000222095 and 1220000222104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127065320 + ... + 127074920.

It is an arithmetic number, because the mean of its divisors is an integer number (22014553410).

Almost surely, 21220000222120 is an apocalyptic number.

1220000222120 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 1220000222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408931418240).

1220000222120 is an abundant number, since it is smaller than the sum of its proper divisors (1597862614360).

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

1220000222120 is a wasteful number, since it uses less digits than its factorization.

1220000222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10227 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1220000222120 its reverse (212220000221), we get a palindrome (1432220222341).

The spelling of 1220000222120 in words is "one trillion, two hundred twenty billion, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 101 142 202 284 355 404 443 505 568 710 808 886 1010 1420 1772 2020 2215 2840 3544 4040 4430 7171 8860 9601 14342 17720 19202 28684 31453 35855 38404 44743 48005 57368 62906 71710 76808 89486 96010 125812 143420 157265 178972 192020 223715 251624 286840 314530 357944 384040 447430 629060 681671 894860 969701 1258120 1363342 1789720 1939402 2726684 3176753 3408355 3878804 4253243 4848505 5453368 6353506 6816710 7757608 8506486 9697010 12707012 13633420 15883765 17012972 19394020 21266215 25414024 27266840 31767530 34025944 38788040 42532430 63535060 68848771 85064860 127070120 137697542 170129720 275395084 301980253 344243855 429577543 550790168 603960506 688487710 859155086 1207921012 1376975420 1509901265 1718310172 2147887715 2415842024 2753950840 3019802530 3436620344 4295775430 6039605060 8591550860 12079210120 17183101720 30500005553 61000011106 122000022212 152500027765 244000044424 305000055530 610000111060 1220000222120