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21122022122112 = 2731719170294941
BaseRepresentation
bin1001100110101110110101…
…01000000010001010000000
32202210020122001000222200210
410303113122220002022000
510232030400130401422
6112531153434114120
74310005253503032
oct463273250021200
982706561028623
1021122022122112
11680388792434a
12245170a57b940
13ba2a4b6882a2
145304503c3c52
15269673d8510c
hex1335daa02280

21122022122112 has 128 divisors (see below), whose sum is σ = 62532302702400. Its totient is φ = 6277752668160.

The previous prime is 21122022122101. The next prime is 21122022122147. The reversal of 21122022122112 is 21122122022112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×211220221221122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85023439 + ... + 85271502.

Almost surely, 221122022122112 is an apocalyptic number.

It is an amenable number.

21122022122112 is an abundant number, since it is smaller than the sum of its proper divisors (41410280580288).

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

21122022122112 is a wasteful number, since it uses less digits than its factorization.

21122022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170294994 (or 170294982 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 21122022122112 its reverse (21122122022112), we get a palindrome (42244144144224).

The spelling of 21122022122112 in words is "twenty-one trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 272 304 323 384 408 456 544 608 646 816 912 969 1088 1216 1292 1632 1824 1938 2176 2432 2584 3264 3648 3876 5168 6528 7296 7752 10336 15504 20672 31008 41344 62016 124032 170294941 340589882 510884823 681179764 1021769646 1362359528 2043539292 2724719056 2895013997 3235603879 4087078584 5449438112 5790027994 6471207758 8174157168 8685041991 9706811637 10898876224 11580055988 12942415516 16348314336 17370083982 19413623274 21797752448 23160111976 25884831032 32696628672 34740167964 38827246548 46320223952 51769662064 55005265943 65393257344 69480335928 77654493096 92640447904 103539324128 110010531886 138960671856 155308986192 165015797829 185280895808 207078648256 220021063772 277921343712 310617972384 330031595658 370561791616 414157296512 440042127544 555842687424 621235944768 660063191316 880084255088 1111685374848 1242471889536 1320126382632 1760168510176 2640252765264 3520337020352 5280505530528 7040674040704 10561011061056 21122022122112