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21001200122120 = 2354392811315591
BaseRepresentation
bin1001100011001101110010…
…00100101011100100001000
32202100200202202010110012012
410301212321010223210020
510223040424212401440
6112355452415235052
74265200213445141
oct461467104534410
982320682113165
1021001200122120
116767616a72499
12243220b518a88
13b945350b74ba
1452866bc26ac8
15266451b5de65
hex1319b912b908

21001200122120 has 64 divisors (see below), whose sum is σ = 48356846778240. Its totient is φ = 8204229734400.

The previous prime is 21001200122117. The next prime is 21001200122171. The reversal of 21001200122120 is 2122100210012.

It is a junction number, because it is equal to n+sod(n) for n = 21001200122095 and 21001200122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15305525 + ... + 16621115.

It is an arithmetic number, because the mean of its divisors is an integer number (755575730910).

Almost surely, 221001200122120 is an apocalyptic number.

21001200122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001200122120 is an abundant number, since it is smaller than the sum of its proper divisors (27355646656120).

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

21001200122120 is a wasteful number, since it uses less digits than its factorization.

21001200122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324926 (or 1324922 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21001200122120 its reverse (2122100210012), we get a palindrome (23123300332132).

The spelling of 21001200122120 in words is "twenty-one trillion, one billion, two hundred million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 9281 18562 37124 46405 74248 92810 185620 371240 399083 798166 1315591 1596332 1995415 2631182 3192664 3990830 5262364 6577955 7981660 10524728 13155910 15963320 26311820 52623640 56570413 113140826 226281652 282852065 452563304 565704130 1131408260 2262816520 12210000071 24420000142 48840000284 61050000355 97680000568 122100000710 244200001420 488400002840 525030003053 1050060006106 2100120012212 2625150015265 4200240024424 5250300030530 10500600061060 21001200122120