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21222001212120 = 23325103357066799
BaseRepresentation
bin1001101001101001000011…
…10101111111101011011000
32210010210200202022222211100
410310310201311333223120
510240200124302241440
6113045130333031400
74320144654652332
oct464644165775330
983123622288740
1021222001212120
116842222478465
122468b71325560
13bac2c2a56347
14535216760452
1526c07633e230
hex134d21d7fad8

21222001212120 has 96 divisors (see below), whose sum is σ = 69038273304000. Its totient is φ = 5653721811456.

The previous prime is 21222001212073. The next prime is 21222001212149. The reversal of 21222001212120 is 2121210022212.

It is a happy number.

21222001212120 is a `hidden beast` number, since 212 + 220 + 0 + 1 + 21 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21222001212093 and 21222001212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28161520 + ... + 28905279.

It is an arithmetic number, because the mean of its divisors is an integer number (719148680250).

Almost surely, 221222001212120 is an apocalyptic number.

21222001212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222001212120 is an abundant number, since it is smaller than the sum of its proper divisors (47816272091880).

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

21222001212120 is a wasteful number, since it uses less digits than its factorization.

21222001212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57067849 (or 57067842 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222001212120 its reverse (2121210022212), we get a palindrome (23343211234332).

The spelling of 21222001212120 in words is "twenty-one trillion, two hundred twenty-two billion, one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1033 2066 3099 4132 5165 6198 8264 9297 10330 12396 15495 18594 20660 24792 30990 37188 41320 46485 61980 74376 92970 123960 185940 371880 57066799 114133598 171200397 228267196 285333995 342400794 456534392 513601191 570667990 684801588 856001985 1027202382 1141335980 1369603176 1712003970 2054404764 2282671960 2568005955 3424007940 4108809528 5136011910 6848015880 10272023820 20544047640 58950003367 117900006734 176850010101 235800013468 294750016835 353700020202 471600026936 530550030303 589500033670 707400040404 884250050505 1061100060606 1179000067340 1414800080808 1768500101010 2122200121212 2358000134680 2652750151515 3537000202020 4244400242424 5305500303030 7074000404040 10611000606060 21222001212120