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12121202221020 = 22325297187323093
BaseRepresentation
bin1011000001100010111111…
…1100111101111111011100
31120220202221102102212111100
42300120233330331333130
53042043210232033040
641440223050153100
72360504455623324
oct260305774757734
946822842385440
1012121202221020
113953633722412
121439206122790
1369c041998329
142dc952872284
151604786eeb30
hexb062ff3dfdc

12121202221020 has 144 divisors (see below), whose sum is σ = 38040906627360. Its totient is φ = 3120417366528.

The previous prime is 12121202220979. The next prime is 12121202221039. The reversal of 12121202221020 is 2012220212121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12121202220984 and 12121202221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37354594 + ... + 37677686.

It is an arithmetic number, because the mean of its divisors is an integer number (264172962690).

Almost surely, 212121202221020 is an apocalyptic number.

12121202221020 is a gapful number since it is divisible by the number (10) 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 12121202221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19020453313680).

12121202221020 is an abundant number, since it is smaller than the sum of its proper divisors (25919704406340).

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

12121202221020 is a wasteful number, since it uses less digits than its factorization.

12121202221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330324 (or 330319 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12121202221020 its reverse (2012220212121), we get a palindrome (14133422433141).

The spelling of 12121202221020 in words is "twelve trillion, one hundred twenty-one billion, two hundred two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 7187 14374 21561 28748 35935 43122 64683 71870 86244 107805 129366 143740 208423 215610 258732 323093 323415 416846 431220 625269 646186 646830 833692 969279 1042115 1250538 1292372 1293660 1615465 1875807 1938558 2084230 2501076 2907837 3126345 3230930 3751614 3877116 4168460 4846395 5815674 6252690 6461860 7503228 9369697 9379035 9692790 11631348 12505380 14539185 18739394 18758070 19385580 28109091 29078370 37478788 37516140 46848485 56218182 58156740 84327273 93696970 112436364 140545455 168654546 187393940 281090910 337309092 421636365 562181820 843272730 1686545460 2322069391 4644138782 6966208173 9288277564 11610346955 13932416346 20898624519 23220693910 27864832692 34831040865 41797249038 46441387820 67340012339 69662081730 83594498076 104493122595 134680024678 139324163460 202020037017 208986245190 269360049356 336700061695 404040074034 417972490380 606060111051 673400123390 808080148068 1010100185085 1212120222102 1346800246780 2020200370170 2424240444204 3030300555255 4040400740340 6060601110510 12121202221020