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212321202345120 = 253511331121487459
BaseRepresentation
bin110000010001101011100001…
…110110000001010010100000
31000211202201010122120220210110
4300101223201312001102200
5210312132310300020440
62031323002552331320
762502462216243021
oct6021534166012240
91024681118526713
10212321202345120
1161719a09581120
121b9913310a3b40
139161a5a2ba9bb
143a605885aac48
151982e65c3a080
hexc11ae1d814a0

212321202345120 has 192 divisors, whose sum is σ = 731817133447680. Its totient is φ = 51316302259200.

The previous prime is 212321202345097. The next prime is 212321202345163. The reversal of 212321202345120 is 21543202123212.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58996050 + ... + 62491409.

It is an arithmetic number, because the mean of its divisors is an integer number (3811547570040).

Almost surely, 2212321202345120 is an apocalyptic number.

212321202345120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212321202345120 is an abundant number, since it is smaller than the sum of its proper divisors (519495931102560).

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

212321202345120 is a wasteful number, since it uses less digits than its factorization.

212321202345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121487819 (or 121487811 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 212321202345120 its reverse (21543202123212), we get a palindrome (233864404468332).

The spelling of 212321202345120 in words is "two hundred twelve trillion, three hundred twenty-one billion, two hundred two million, three hundred forty-five thousand, one hundred twenty".