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12212020220010 = 235132311941114013
BaseRepresentation
bin1011000110110101010100…
…1000001001000001101010
31121020110100200112020021120
42301231111020021001222
53100040204134020020
641550042531120110
72400201150106512
oct261552510110152
947213320466246
1012212020220010
1139890a8058226
121452930a43036
136a7786102b80
143030ca262842
151629e17ab740
hexb1b5520906a

12212020220010 has 128 divisors (see below), whose sum is σ = 32938743108096. Its totient is φ = 2875072527360.

The previous prime is 12212020219963. The next prime is 12212020220011. The reversal of 12212020220010 is 1002202021221.

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

It is not an unprimeable number, because it can be changed into a prime (12212020220011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107053764 + ... + 107167776.

It is an arithmetic number, because the mean of its divisors is an integer number (257333930532).

Almost surely, 212212020220010 is an apocalyptic number.

12212020220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212020220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469371554048).

12212020220010 is an abundant number, since it is smaller than the sum of its proper divisors (20726722888086).

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

12212020220010 is a wasteful number, since it uses less digits than its factorization.

12212020220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126000.

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

Adding to 12212020220010 its reverse (1002202021221), we get a palindrome (13214222241231).

The spelling of 12212020220010 in words is "twelve trillion, two hundred twelve billion, twenty million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1794 2990 4485 8970 11941 23882 35823 59705 71646 114013 119410 155233 179115 228026 274643 310466 342039 358230 465699 549286 570065 684078 776165 823929 931398 1140130 1373215 1482169 1552330 1647858 1710195 2328495 2622299 2746430 2964338 3420390 3570359 4119645 4446507 4656990 5244598 7140718 7410845 7866897 8239290 8893014 10711077 13111495 14821690 15733794 17851795 21422154 22232535 26222990 34089887 35703590 39334485 44465070 53555385 68179774 78668970 102269661 107110770 170449435 204539322 340898870 511348305 1022696610 1361429233 2722858466 4084287699 6807146165 8168575398 13614292330 17698580029 20421438495 31312872359 35397160058 40842876990 53095740087 62625744718 88492900145 93938617077 106191480174 156564361795 176985800290 187877234154 265478700435 313128723590 407067340667 469693085385 530957400870 814134681334 939386170770 1221202022001 2035336703335 2442404044002 4070673406670 6106010110005 12212020220010