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2220121011220 = 225747347972347
BaseRepresentation
bin100000010011101001100…
…001100011010000010100
321212020112001100210220021
4200103221201203100110
5242333301434324340
64415524242114524
7316253445141250
oct40235141432024
97766461323807
102220121011220
11786603483582
122ba33604ba44
1313148334a438
1479650d57260
153cb3cb22e4a
hex204e9863414

2220121011220 has 96 divisors (see below), whose sum is σ = 5457345933312. Its totient is φ = 742841228928.

The previous prime is 2220121011137. The next prime is 2220121011223. The reversal of 2220121011220 is 221101210222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2220121011194 and 2220121011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220121011223) 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, 1797087 + ... + 2769433.

It is an arithmetic number, because the mean of its divisors is an integer number (56847353472).

Almost surely, 22220121011220 is an apocalyptic number.

2220121011220 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 2220121011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728672966656).

2220121011220 is an abundant number, since it is smaller than the sum of its proper divisors (3237224922092).

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

2220121011220 is a wasteful number, since it uses less digits than its factorization.

2220121011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972757 (or 972755 counting only the distinct ones).

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

Adding to 2220121011220 its reverse (221101210222), we get a palindrome (2441222221442).

The spelling of 2220121011220 in words is "two trillion, two hundred twenty billion, one hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 347 470 658 694 940 1316 1388 1645 1735 2429 3290 3470 4858 6580 6940 9716 12145 16309 24290 32618 48580 65236 81545 114163 163090 228326 326180 456652 570815 972347 1141630 1944694 2283260 3889388 4861735 6806429 9723470 13612858 19446940 27225716 34032145 45700309 68064290 91400618 136128580 182801236 228501545 319902163 337404409 457003090 639804326 674808818 914006180 1279608652 1349617636 1599510815 1687022045 2361830863 3199021630 3374044090 4723661726 6398043260 6748088180 9447323452 11809154315 15858007223 23618308630 31716014446 47236617260 63432028892 79290036115 111006050561 158580072230 222012101122 317160144460 444024202244 555030252805 1110060505610 2220121011220