Search a number
-
+
1222132113420 = 2235375211056641
BaseRepresentation
bin10001110010001100110…
…000000010000000001100
311022211112111011221222220
4101302030300002000030
5130010411310112140
62333234552335340
7154203400364031
oct21621460020014
94284474157886
101222132113420
11431337798519
12178a356a4550
138b3289153ca
1443219a59388
1521bccc13bd0
hex11c8cc0200c

1222132113420 has 96 divisors (see below), whose sum is σ = 3521204519616. Its totient is φ = 316484812800.

The previous prime is 1222132113413. The next prime is 1222132113421. The reversal of 1222132113420 is 243112312221.

It is not an unprimeable number, because it can be changed into a prime (1222132113421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628300 + ... + 1684940.

It is an arithmetic number, because the mean of its divisors is an integer number (36679213746).

Almost surely, 21222132113420 is an apocalyptic number.

1222132113420 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 1222132113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760602259808).

1222132113420 is an abundant number, since it is smaller than the sum of its proper divisors (2299072406196).

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

1222132113420 is a wasteful number, since it uses less digits than its factorization.

1222132113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057211 (or 1057209 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1222132113420 its reverse (243112312221), we get a palindrome (1465244425641).

The spelling of 1222132113420 in words is "one trillion, two hundred twenty-two billion, one hundred thirty-two million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 521 555 740 1042 1110 1563 2084 2220 2605 3126 5210 6252 7815 10420 15630 19277 31260 38554 57831 77108 96385 115662 192770 231324 289155 385540 578310 1056641 1156620 2113282 3169923 4226564 5283205 6339846 10566410 12679692 15849615 21132820 31699230 39095717 63398460 78191434 117287151 156382868 195478585 234574302 390957170 469148604 550509961 586435755 781914340 1101019922 1172871510 1651529883 2202039844 2345743020 2752549805 3303059766 5505099610 6606119532 8257649415 11010199220 16515298830 20368868557 33030597660 40737737114 61106605671 81475474228 101844342785 122213211342 203688685570 244426422684 305533028355 407377371140 611066056710 1222132113420