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12212011120020 = 22357111731244367
BaseRepresentation
bin1011000110110101010010…
…0101011011010110010100
31121020110100001101220102220
42301231110211123112110
53100040144321320040
641550042004102340
72400201006546105
oct261552445332624
947213301356386
1012212011120020
1139890a2a02278
1214529299949b0
136a7784267b6a
143030c8d743ac
151629e0ab02d0
hexb1b5495b594

12212011120020 has 96 divisors (see below), whose sum is σ = 34678329348096. Its totient is φ = 3210382761600.

The previous prime is 12212011119983. The next prime is 12212011120061. The reversal of 12212011120020 is 2002111021221.

12212011120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 49851877 + ... + 50096243.

It is an arithmetic number, because the mean of its divisors is an integer number (361232597376).

Almost surely, 212212011120020 is an apocalyptic number.

12212011120020 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 12212011120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17339164674048).

12212011120020 is an abundant number, since it is smaller than the sum of its proper divisors (22466318228076).

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

12212011120020 is a wasteful number, since it uses less digits than its factorization.

12212011120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256181 (or 256179 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12212011120020 its reverse (2002111021221), we get a palindrome (14214122141241).

The spelling of 12212011120020 in words is "twelve trillion, two hundred twelve billion, eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 11731 23462 35193 46924 58655 70386 117310 140772 175965 234620 244367 351930 488734 703860 733101 832901 977468 1221835 1466202 1665802 2443670 2498703 2932404 3331604 3665505 4164505 4887340 4997406 7331010 8329010 9994812 12493515 14662020 16658020 17350057 24987030 34700114 49974060 52050171 69400228 86750285 104100342 173500570 208200684 260250855 347001140 520501710 1041003420 2866669277 5733338554 8600007831 11466677108 14333346385 17200015662 28666692770 34400031324 43000039155 57333385540 86000078310 172000156620 203533518667 407067037334 610600556001 814134074668 1017667593335 1221201112002 2035335186670 2442402224004 3053002780005 4070670373340 6106005560010 12212011120020