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21122000000120 = 23510733577146977
BaseRepresentation
bin1001100110101110110010…
…10011101001010001111000
32202210020120111102002000202
410303113121103221101320
510232030324000000440
6112531151324021332
74310004564455315
oct463273123512170
982706514362022
1021122000000120
116803876394808
122451703091848
13ba2a46c11056
1453044b4a5d0c
15269671e65615
hex1335d94e9478

21122000000120 has 64 divisors (see below), whose sum is σ = 47970409200480. Its totient is φ = 8369533034496.

The previous prime is 21122000000107. The next prime is 21122000000141. The reversal of 21122000000120 is 2100000022112.

It is a happy number.

It is a super-2 number, since 2×211220000001202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143636072 + ... + 143783048.

Almost surely, 221122000000120 is an apocalyptic number.

21122000000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122000000120 is an abundant number, since it is smaller than the sum of its proper divisors (26848409200360).

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

21122000000120 is a wasteful number, since it uses less digits than its factorization.

21122000000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180672 (or 180668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21122000000120 its reverse (2100000022112), we get a palindrome (23222000022232).

The spelling of 21122000000120 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 4280 33577 67154 134308 146977 167885 268616 293954 335770 587908 671540 734885 1175816 1343080 1469770 2939540 3592739 5879080 7185478 14370956 15726539 17963695 28741912 31453078 35927390 62906156 71854780 78632695 125812312 143709560 157265390 314530780 629061560 4935046729 9870093458 19740186916 24675233645 39480373832 49350467290 98700934580 197401869160 528050000003 1056100000006 2112200000012 2640250000015 4224400000024 5280500000030 10561000000060 21122000000120