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220012202000120 = 23579379318355949
BaseRepresentation
bin110010000001100110010101…
…001001010111111011111000
31001211222221221122022101122112
4302001212111021113323320
5212314134442203000440
62055532113230511452
764225233315540665
oct6201462511277370
91054887848271575
10220012202000120
1164114718360702
1220813a09365588
13959c0a5511c1a
143c4890c642a6c
151a68050297965
hexc81995257ef8

220012202000120 has 64 divisors (see below), whose sum is σ = 501425814960000. Its totient is φ = 86867982010368.

The previous prime is 220012202000077. The next prime is 220012202000141. The reversal of 220012202000120 is 21000202210022.

220012202000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220012202000095 and 220012202000104.

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, 2807906 + ... + 21163854.

It is an arithmetic number, because the mean of its divisors is an integer number (7834778358750).

Almost surely, 2220012202000120 is an apocalyptic number.

220012202000120 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 220012202000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250712907480000).

220012202000120 is an abundant number, since it is smaller than the sum of its proper divisors (281413612959880).

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

220012202000120 is a wasteful number, since it uses less digits than its factorization.

220012202000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18359832 (or 18359828 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220012202000120 its reverse (21000202210022), we get a palindrome (241012404210142).

The spelling of 220012202000120 in words is "two hundred twenty trillion, twelve billion, two hundred two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 3793 7586 15172 18965 30344 37930 75860 151720 299647 599294 1198588 1498235 2397176 2996470 5992940 11985880 18355949 36711898 73423796 91779745 146847592 183559490 367118980 734237960 1450119971 2900239942 5800479884 7250599855 11600959768 14501199710 29002399420 58004798840 69624114557 139248229114 278496458228 348120572785 556992916456 696241145570 1392482291140 2784964582280 5500305050003 11000610100006 22001220200012 27501525250015 44002440400024 55003050500030 110006101000060 220012202000120