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12021321013221 = 31319167631153953
BaseRepresentation
bin1010111011101110111010…
…0100011001011111100101
31120120020010112022210111210
42232323232210121133211
53033424131134410341
641322304005222033
72350340353435632
oct256735644313745
946506115283453
1012021321013221
113915239353693
121421990101919
136927b497bb40
142d7b994d5189
1515ca7eb2cc16
hexaeeee9197e5

12021321013221 has 64 divisors (see below), whose sum is σ = 18307766292480. Its totient is φ = 6955329669120.

The previous prime is 12021321013201. The next prime is 12021321013241. The reversal of 12021321013221 is 12231012312021.

It is an interprime number because it is at equal distance from previous prime (12021321013201) and next prime (12021321013241).

It is not a de Polignac number, because 12021321013221 - 215 = 12021320980453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021321013201) 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, 78007381 + ... + 78161333.

It is an arithmetic number, because the mean of its divisors is an integer number (286058848320).

Almost surely, 212021321013221 is an apocalyptic number.

It is an amenable number.

12021321013221 is a deficient number, since it is larger than the sum of its proper divisors (6286445279259).

12021321013221 is a wasteful number, since it uses less digits than its factorization.

12021321013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154786.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12021321013221 its reverse (12231012312021), we get a palindrome (24252333325242).

The spelling of 12021321013221 in words is "twelve trillion, twenty-one billion, three hundred twenty-one million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 13 19 39 57 167 247 501 631 741 1893 2171 3173 6513 8203 9519 11989 24609 35967 41249 105377 123747 153953 155857 316131 461859 467571 1369901 2001389 2002163 2925107 4109703 6004167 6006489 8775321 25710151 26028119 38026391 77130453 78084357 97144343 114079173 291433029 334231963 488492869 1002695889 1262876459 1465478607 1845742517 3788629377 5537227551 6350407297 16223105281 19051221891 23994652721 48669315843 71983958163 210900368653 308239000339 632701105959 924717001017 4007107004407 12021321013221