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212220121211120 = 245111811332371429
BaseRepresentation
bin110000010000001101011000…
…111100000110000011110000
31000211102001020010121021111202
4300100031120330012003300
5210304003302012223440
62031204324445030332
762462253303625241
oct6020153074060360
91024361203537452
10212220121211120
1161690058947050
121b9758212553a8
13915536b8047c9
143a59719b1ccc8
1519804ebb44615
hexc10358f060f0

212220121211120 has 80 divisors (see below), whose sum is σ = 541241251780320. Its totient is φ = 76744594252800.

The previous prime is 212220121211113. The next prime is 212220121211129. The reversal of 212220121211120 is 21112121022212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2122201212111202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212220121211092 and 212220121211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220121211129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666026435 + ... + 666344994.

It is an arithmetic number, because the mean of its divisors is an integer number (6765515647254).

Almost surely, 2212220121211120 is an apocalyptic number.

212220121211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220121211120 is an abundant number, since it is smaller than the sum of its proper divisors (329021130569200).

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

212220121211120 is a wasteful number, since it uses less digits than its factorization.

212220121211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332371634 (or 1332371628 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212220121211120 its reverse (21112121022212), we get a palindrome (233332242233332).

The spelling of 212220121211120 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 181 220 362 440 724 880 905 1448 1810 1991 2896 3620 3982 7240 7964 9955 14480 15928 19910 31856 39820 79640 159280 1332371429 2664742858 5329485716 6661857145 10658971432 13323714290 14656085719 21317942864 26647428580 29312171438 53294857160 58624342876 73280428595 106589714320 117248685752 146560857190 234497371504 241159228649 293121714380 482318457298 586243428760 964636914596 1172486857520 1205796143245 1929273829192 2411592286490 2652751515139 3858547658384 4823184572980 5305503030278 9646369145960 10611006060556 13263757575695 19292738291920 21222012121112 26527515151390 42444024242224 53055030302780 106110060605560 212220121211120