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212012201121120 = 25325374023198909
BaseRepresentation
bin110000001101001011101111…
…111011111001010101100000
31000210200011112211021100000200
4300031023233323321111200
5210242101441441333440
62030525021031545200
762441242662210651
oct6015135773712540
91023604484240020
10212012201121120
116160a962428024
121b94147522b200
13913b8846a095a
143a4d633c15528
151979dcd20bc30
hexc0d2efef9560

212012201121120 has 288 divisors, whose sum is σ = 743071446411840. Its totient is φ = 55006647644160.

The previous prime is 212012201121103. The next prime is 212012201121179. The reversal of 212012201121120 is 21121102210212.

212012201121120 is a `hidden beast` number, since 2 + 1 + 201 + 220 + 1 + 121 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 212012201121093 and 212012201121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2143458226 + ... + 2143557134.

It is an arithmetic number, because the mean of its divisors is an integer number (2580109188930).

Almost surely, 2212012201121120 is an apocalyptic number.

212012201121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212012201121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371535723205920).

212012201121120 is an abundant number, since it is smaller than the sum of its proper divisors (531059245290720).

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

212012201121120 is a wasteful number, since it uses less digits than its factorization.

212012201121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139198 (or 139187 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212012201121120 its reverse (21121102210212), we get a palindrome (233133303331332).

The spelling of 212012201121120 in words is "two hundred twelve trillion, twelve billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty".