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200122001220 = 223541557146051
BaseRepresentation
bin1011101001100000110…
…0110110011101000100
3201010112211211222201010
42322120030312131010
511234322213014340
6231533525002220
720313131641461
oct2723014663504
9633484758633
10200122001220
117796471a559
1232950553370
1315b43696c4b
14998639c668
155314022b80
hex2e98336744

200122001220 has 96 divisors (see below), whose sum is σ = 575042944896. Its totient is φ = 51970432000.

The previous prime is 200122001159. The next prime is 200122001243. The reversal of 200122001220 is 22100221002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200122001196 and 200122001205.

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, 1297195 + ... + 1443245.

It is an arithmetic number, because the mean of its divisors is an integer number (5990030676).

Almost surely, 2200122001220 is an apocalyptic number.

200122001220 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 200122001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287521472448).

200122001220 is an abundant number, since it is smaller than the sum of its proper divisors (374920943676).

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

200122001220 is a wasteful number, since it uses less digits than its factorization.

200122001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146661 (or 146659 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200122001220 its reverse (22100221002), we get a palindrome (222222222222).

The spelling of 200122001220 in words is "two hundred billion, one hundred twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 557 615 820 1114 1230 1671 2228 2460 2785 3342 5570 6684 8355 11140 16710 22837 33420 45674 68511 91348 114185 137022 146051 228370 274044 292102 342555 438153 456740 584204 685110 730255 876306 1370220 1460510 1752612 2190765 2921020 4381530 5988091 8763060 11976182 17964273 23952364 29940455 35928546 59880910 71857092 81350407 89821365 119761820 162700814 179642730 244051221 325401628 359285460 406752035 488102442 813504070 976204884 1220256105 1627008140 2440512210 3335366687 4881024420 6670733374 10006100061 13341466748 16676833435 20012200122 33353666870 40024400244 50030500305 66707333740 100061000610 200122001220