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221021112120012 = 223333129251211369
BaseRepresentation
bin110010010000010001111100…
…111000000011001011001100
31001222120102010022200210211000
4302100101330320003023030
5212432202214200320022
62102023410332100300
764361151125214651
oct6220217470031314
91058512108623730
10221021112120012
1164473588868546
1220957457304690
13964328074b549
143c8169c185c28
151a843edd846ac
hexc9047ce032cc

221021112120012 has 96 divisors (see below), whose sum is σ = 574771237510400. Its totient is φ = 73448266320000.

The previous prime is 221021112119971. The next prime is 221021112120023. The reversal of 221021112120012 is 210021211120122.

221021112120012 is a `hidden beast` number, since 221 + 0 + 211 + 1 + 21 + 200 + 12 = 666.

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

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, 1045559064 + ... + 1045770432.

Almost surely, 2221021112120012 is an apocalyptic number.

It is an amenable number.

221021112120012 is an abundant number, since it is smaller than the sum of its proper divisors (353750125390388).

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

221021112120012 is a wasteful number, since it uses less digits than its factorization.

221021112120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240964 (or 240956 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221021112120012 its reverse (210021211120122), we get a palindrome (431042323240134).

The spelling of 221021112120012 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twelve million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 331 662 993 1324 1986 2979 3972 5958 8937 11916 17874 29251 35748 58502 87753 117004 175506 211369 263259 351012 422738 526518 634107 789777 845476 1053036 1268214 1579554 1902321 2536428 3159108 3804642 5706963 7609284 9682081 11413926 19364162 22827852 29046243 38728324 58092486 69963139 87138729 116184972 139926278 174277458 209889417 261416187 279852556 348554916 419778834 522832374 629668251 839557668 1045664748 1259336502 1889004753 2518673004 3778009506 6182754619 7556019012 12365509238 18548263857 24731018476 37096527714 55644791571 74193055428 111289583142 166934374713 222579166284 333868749426 667737498852 2046491778889 4092983557778 6139475336667 8185967115556 12278950673334 18418426010001 24557901346668 36836852020002 55255278030003 73673704040004 110510556060006 221021112120012