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12021242201120 = 255202737065991
BaseRepresentation
bin1010111011101110100111…
…0111110000010000100000
31120120012221001000201122002
42232323221313300100200
53033424001000413440
641322252112103132
72350335405521015
oct256735167602040
946505831021562
1012021242201120
1139151a8913a19
121421969834aa8
136927a1546369
142d7b8cc5b70c
1515ca77c61115
hexaeee9df0420

12021242201120 has 48 divisors (see below), whose sum is σ = 28414196411328. Its totient is φ = 4806124527360.

The previous prime is 12021242201071. The next prime is 12021242201123. The reversal of 12021242201120 is 2110224212021.

It is a happy number.

12021242201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12021242201092 and 12021242201101.

It is not an unprimeable number, because it can be changed into a prime (12021242201123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18208676 + ... + 18857315.

It is an arithmetic number, because the mean of its divisors is an integer number (591962425236).

Almost surely, 212021242201120 is an apocalyptic number.

12021242201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021242201120 is an abundant number, since it is smaller than the sum of its proper divisors (16392954210208).

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

12021242201120 is a wasteful number, since it uses less digits than its factorization.

12021242201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37068033 (or 37068025 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12021242201120 its reverse (2110224212021), we get a palindrome (14131466413141).

The spelling of 12021242201120 in words is "twelve trillion, twenty-one billion, two hundred forty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2027 4054 8108 10135 16216 20270 32432 40540 64864 81080 162160 324320 37065991 74131982 148263964 185329955 296527928 370659910 593055856 741319820 1186111712 1482639640 2965279280 5930558560 75132763757 150265527514 300531055028 375663818785 601062110056 751327637570 1202124220112 1502655275140 2404248440224 3005310550280 6010621100560 12021242201120