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2221121122000 = 245311109926239
BaseRepresentation
bin100000010100100101001…
…000101010111011010000
321212100002202020200222021
4200110211020222323100
5242342324001401000
64420211410021224
7316320311013154
oct40244510527320
97770082220867
102221121122000
11786a76a72610
122ba574b77814
131315b25c5b71
1479707ad3064
153cb9a82711a
hex2052522aed0

2221121122000 has 160 divisors (see below), whose sum is σ = 5912671564800. Its totient is φ = 800269632000.

The previous prime is 2221121121979. The next prime is 2221121122007. The reversal of 2221121122000 is 2211211222.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221121122007) 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, 1934881 + ... + 2861119.

It is an arithmetic number, because the mean of its divisors is an integer number (36954197280).

Almost surely, 22221121122000 is an apocalyptic number.

2221121122000 is a gapful number since it is divisible by the number (20) 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 2221121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956335782400).

2221121122000 is an abundant number, since it is smaller than the sum of its proper divisors (3691550442800).

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

2221121122000 is a wasteful number, since it uses less digits than its factorization.

2221121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926382 (or 926366 counting only the distinct ones).

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

Adding to 2221121122000 its reverse (2211211222), we get a palindrome (2223332333222).

The spelling of 2221121122000 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 109 110 125 176 200 218 220 250 275 400 436 440 500 545 550 872 880 1000 1090 1100 1199 1375 1744 2000 2180 2200 2398 2725 2750 4360 4400 4796 5450 5500 5995 8720 9592 10900 11000 11990 13625 19184 21800 22000 23980 27250 29975 43600 47960 54500 59950 95920 109000 119900 149875 218000 239800 299750 479600 599500 926239 1199000 1852478 2398000 3704956 4631195 7409912 9262390 10188629 14819824 18524780 20377258 23155975 37049560 40754516 46311950 50943145 74099120 81509032 92623900 100960051 101886290 115779875 163018064 185247800 201920102 203772580 231559750 254715725 370495600 403840204 407545160 463119500 504800255 509431450 807680408 815090320 926239000 1009600510 1018862900 1110560561 1273578625 1615360816 1852478000 2019201020 2037725800 2221121122 2524001275 2547157250 4038402040 4075451600 4442242244 5048002550 5094314500 5552802805 8076804080 8884484488 10096005100 10188629000 11105605610 12620006375 17768968976 20192010200 20377258000 22211211220 25240012750 27764014025 40384020400 44422422440 50480025500 55528028050 88844844880 100960051000 111056056100 138820070125 201920102000 222112112200 277640140250 444224224400 555280280500 1110560561000 2221121122000