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12212220420 = 2233527298287
BaseRepresentation
bin10110101111110011…
…11011001000000100
31011112002110002001000
423113321323020010
5200002312023140
65335450133300
7611426106111
oct132771731004
934462402030
1012212220420
1151a7530a54
122449a21230
1311c810a23a
1483bca1908
154b71e0a30
hex2d7e7b204

12212220420 has 96 divisors (see below), whose sum is σ = 38012083200. Its totient is φ = 3255005952.

The previous prime is 12212220413. The next prime is 12212220437. The reversal of 12212220420 is 2402221221.

12212220420 is a `hidden beast` number, since 1 + 2 + 21 + 2 + 220 + 420 = 666.

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 = 12212220393 and 12212220402.

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, 1469517 + ... + 1477803.

It is an arithmetic number, because the mean of its divisors is an integer number (395959200).

Almost surely, 212212220420 is an apocalyptic number.

12212220420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212220420 is an abundant number, since it is smaller than the sum of its proper divisors (25799862780).

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

12212220420 is a wasteful number, since it uses less digits than its factorization.

12212220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11034 (or 11026 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12212220420 its reverse (2402221221), we get a palindrome (14614441641).

The spelling of 12212220420 in words is "twelve billion, two hundred twelve million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2729 5458 8187 8287 10916 13645 16374 16574 24561 24861 27290 32748 33148 40935 41435 49122 49722 54580 73683 74583 81870 82870 98244 99444 122805 124305 147366 149166 163740 165740 223749 245610 248610 294732 298332 368415 372915 447498 491220 497220 736830 745830 894996 1118745 1473660 1491660 2237490 4474980 22615223 45230446 67845669 90460892 113076115 135691338 203537007 226152230 271382676 339228345 407074014 452304460 610611021 678456690 814148028 1017685035 1221222042 1356913380 2035370070 2442444084 3053055105 4070740140 6106110210 12212220420