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2220021012120 = 23351491123110563
BaseRepresentation
bin100000010011100011100…
…100000101011010011000
321212020021002012022220220
4200103203210011122120
5242333100334341440
64415510310520040
7316251122151552
oct40234344053230
97766232168826
102220021012120
11786561a9279a
122ba308666020
13131468707182
14796419664d2
153cb33e6d8d0
hex204e3905698

2220021012120 has 128 divisors (see below), whose sum is σ = 6710792544000. Its totient is φ = 587503471104.

The previous prime is 2220021012119. The next prime is 2220021012227. The reversal of 2220021012120 is 212101200222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2220021012120.

It is a congruent number.

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, 20023959 + ... + 20134521.

It is an arithmetic number, because the mean of its divisors is an integer number (52428066750).

Almost surely, 22220021012120 is an apocalyptic number.

2220021012120 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 2220021012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355396272000).

2220021012120 is an abundant number, since it is smaller than the sum of its proper divisors (4490771531880).

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

2220021012120 is a wasteful number, since it uses less digits than its factorization.

2220021012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111849 (or 111845 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2220021012120 its reverse (212101200222), we get a palindrome (2432122212342).

The spelling of 2220021012120 in words is "two trillion, two hundred twenty billion, twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1123 1192 1490 1788 2235 2246 2980 3369 3576 4470 4492 5615 5960 6738 8940 8984 11230 13476 16845 17880 22460 26952 33690 44920 67380 110563 134760 167327 221126 331689 334654 442252 501981 552815 663378 669308 836635 884504 1003962 1105630 1326756 1338616 1658445 1673270 2007924 2211260 2509905 2653512 3316890 3346540 4015848 4422520 5019810 6633780 6693080 10039620 13267560 16473887 20079240 32947774 49421661 65895548 82369435 98843322 124162249 131791096 164738870 197686644 247108305 248324498 329477740 372486747 395373288 494216610 496648996 620811245 658955480 744973494 988433220 993297992 1241622490 1489946988 1862433735 1976866440 2483244980 2979893976 3724867470 4966489960 7449734940 14899469880 18500175101 37000350202 55500525303 74000700404 92500875505 111001050606 148001400808 185001751010 222002101212 277502626515 370003502020 444004202424 555005253030 740007004040 1110010506060 2220021012120