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22121241252240 = 24351313154123217
BaseRepresentation
bin1010000011110100000001…
…01110100001000110010000
32220022202210100010010002110
411001322000232201012100
510344413300230032430
6115014205151545320
74442130660122364
oct501720056410620
986282710103073
1022121241252240
117059624a95139
1225932b2b2b240
13c46040c3b440
14566960c412a4
15285656ca27b0
hex141e80ba1190

22121241252240 has 160 divisors (see below), whose sum is σ = 74414661906816. Its totient is φ = 5403661885440.

The previous prime is 22121241252223. The next prime is 22121241252241. The reversal of 22121241252240 is 4225214212122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22121241252198 and 22121241252207.

It is not an unprimeable number, because it can be changed into a prime (22121241252241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26652889 + ... + 27470328.

Almost surely, 222121241252240 is an apocalyptic number.

22121241252240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121241252240 is an abundant number, since it is smaller than the sum of its proper divisors (52293420654576).

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

22121241252240 is a wasteful number, since it uses less digits than its factorization.

22121241252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54123377 (or 54123371 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 22121241252240 its reverse (4225214212122), we get a palindrome (26346455464362).

The spelling of 22121241252240 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred forty-one million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 131 156 195 208 240 260 262 312 390 393 520 524 624 655 780 786 1040 1048 1310 1560 1572 1703 1965 2096 2620 3120 3144 3406 3930 5109 5240 6288 6812 7860 8515 10218 10480 13624 15720 17030 20436 25545 27248 31440 34060 40872 51090 68120 81744 102180 136240 204360 408720 54123217 108246434 162369651 216492868 270616085 324739302 432985736 541232170 649478604 703601821 811848255 865971472 1082464340 1298957208 1407203642 1623696510 2110805463 2164928680 2597914416 2814407284 3247393020 3518009105 4221610926 4329857360 5628814568 6494786040 7036018210 7090141427 8443221852 10554027315 11257629136 12989572080 14072036420 14180282854 16886443704 21108054630 21270424281 28144072840 28360565708 33772887408 35450707135 42216109260 42540848562 56288145680 56721131416 70901414270 84432218520 85081697124 92171838551 106352121405 113442262832 141802828540 168864437040 170163394248 184343677102 212704242810 276515515653 283605657080 340326788496 368687354204 425408485620 460859192755 553031031306 567211314160 737374708408 850816971240 921718385510 1106062062612 1382577578265 1474749416816 1701633942480 1843436771020 2212124125224 2765155156530 3686873542040 4424248250448 5530310313060 7373747084080 11060620626120 22121241252240