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2220122021120 = 28518160715787
BaseRepresentation
bin100000010011101001100…
…101011001110100000000
321212020112010021010012222
4200103221211121310000
5242333302214133440
64415524315510212
7316253456545463
oct40235145316400
97766463233188
102220122021120
11786604003303
122ba336458368
13131483612003
147965113b2da
153cb3cc722b5
hex204e9959d00

2220122021120 has 144 divisors (see below), whose sum is σ = 5356415221248. Its totient is φ = 881631682560.

The previous prime is 2220122021083. The next prime is 2220122021207. The reversal of 2220122021120 is 211202210222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140621867 + ... + 140637653.

Almost surely, 22220122021120 is an apocalyptic number.

2220122021120 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 2220122021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678207610624).

2220122021120 is an abundant number, since it is smaller than the sum of its proper divisors (3136293200128).

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

2220122021120 is a wasteful number, since it uses less digits than its factorization.

2220122021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16596 (or 16582 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2220122021120 its reverse (211202210222), we get a palindrome (2431324231342).

The spelling of 2220122021120 in words is "two trillion, two hundred twenty billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 256 320 362 607 640 724 905 1214 1280 1448 1810 2428 2896 3035 3620 4856 5792 6070 7240 9712 11584 12140 14480 15787 19424 23168 24280 28960 31574 38848 46336 48560 57920 63148 77696 78935 97120 109867 115840 126296 155392 157870 194240 219734 231680 252592 315740 388480 439468 505184 549335 631480 776960 878936 1010368 1098670 1262960 1757872 2020736 2197340 2525920 2857447 3515744 4041472 4394680 5051840 5714894 7031488 8789360 9582709 10103680 11429788 14062976 14287235 17578720 19165418 20207360 22859576 28125952 28574470 35157440 38330836 45719152 47913545 57148940 70314880 76661672 91438304 95827090 114297880 140629760 153323344 182876608 191654180 228595760 306646688 365753216 383308360 457191520 613293376 731506432 766616720 914383040 1226586752 1533233440 1734470329 1828766080 2453173504 3066466880 3468940658 3657532160 6132933760 6937881316 8672351645 12265867520 13875762632 17344703290 27751525264 34689406580 55503050528 69378813160 111006101056 138757626320 222012202112 277515252640 444024404224 555030505280 1110061010560 2220122021120