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212323132020120 = 233511160850857591
BaseRepresentation
bin110000010001101101010100…
…110111001001010110011000
31000211202220010010121120020220
4300101231110313021112120
5210312200233244120440
62031323522244120040
762502561100225452
oct6021552467112630
91024686103546226
10212323132020120
116171a809855550
121b99178b396020
139161ca7011624
143a606cc99b2d2
15198302a35a8d0
hexc11b54dc9598

212323132020120 has 64 divisors (see below), whose sum is σ = 694875704797440. Its totient is φ = 51472274428800.

The previous prime is 212323132020091. The next prime is 212323132020199. The reversal of 212323132020120 is 21020231323212.

It is a super-3 number, since 3×2123231320201203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80425427476 + ... + 80425430115.

It is an arithmetic number, because the mean of its divisors is an integer number (10857432887460).

Almost surely, 2212323132020120 is an apocalyptic number.

212323132020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212323132020120 is an abundant number, since it is smaller than the sum of its proper divisors (482552572777320).

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

212323132020120 is a wasteful number, since it uses less digits than its factorization.

212323132020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160850857616 (or 160850857612 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212323132020120 its reverse (21020231323212), we get a palindrome (233343363343332).

The spelling of 212323132020120 in words is "two hundred twelve trillion, three hundred twenty-three billion, one hundred thirty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 160850857591 321701715182 482552572773 643403430364 804254287955 965105145546 1286806860728 1608508575910 1769359433501 1930210291092 2412762863865 3217017151820 3538718867002 3860420582184 4825525727730 5308078300503 6434034303640 7077437734004 8846797167505 9651051455460 10616156601006 14154875468008 17693594335010 19302102910920 21232313202012 26540391502515 35387188670020 42464626404024 53080783005030 70774377340040 106161566010060 212323132020120