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200220122120 = 235711812631481
BaseRepresentation
bin1011101001111000001…
…1001001110000001000
3201010210200111001021112
42322132003021300020
511240022322401440
6231551352025452
720315432646314
oct2723603116010
9633720431245
10200220122120
1177a05048207
1232979392288
1315b5ab00355
149995420b44
15531c955965
hex2e9e0c9c08

200220122120 has 128 divisors (see below), whose sum is σ = 461422241280. Its totient is φ = 78172416000.

The previous prime is 200220122119. The next prime is 200220122203. The reversal of 200220122120 is 21221022002.

It is a junction number, because it is equal to n+sod(n) for n = 200220122095 and 200220122104.

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, 135191780 + ... + 135193260.

It is an arithmetic number, because the mean of its divisors is an integer number (3604861260).

Almost surely, 2200220122120 is an apocalyptic number.

200220122120 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 200220122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230711120640).

200220122120 is an abundant number, since it is smaller than the sum of its proper divisors (261202119160).

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

200220122120 is a wasteful number, since it uses less digits than its factorization.

200220122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2003 counting only the distinct ones).

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

Adding to 200220122120 its reverse (21221022002), we get a palindrome (221441144122).

The spelling of 200220122120 in words is "two hundred billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 181 263 284 355 362 526 568 710 724 905 1052 1315 1420 1448 1481 1810 2104 2630 2840 2962 3620 5260 5924 7240 7405 10520 11848 12851 14810 18673 25702 29620 37346 47603 51404 59240 64255 74692 93365 95206 102808 105151 128510 149384 186730 190412 210302 238015 257020 268061 373460 380824 389503 420604 476030 514040 525755 536122 746920 779006 841208 952060 1051510 1072244 1340305 1558012 1904120 1947515 2103020 2144488 2680610 3116024 3379813 3895030 4206040 5361220 6759626 7790060 10722440 13519252 15580120 16899065 19032331 27038504 27654713 33798130 38064662 55309426 67596260 70500043 76129324 95161655 110618852 135192520 138273565 141000086 152258648 190323310 221237704 276547130 282000172 352500215 380646620 553094260 564000344 705000430 761293240 1106188520 1410000860 2820001720 5005503053 10011006106 20022012212 25027515265 40044024424 50055030530 100110061060 200220122120