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12120122222100 = 223252107139905453
BaseRepresentation
bin1011000001011110111110…
…0101000110011000010100
31120220200011011020020111100
42300113233211012120110
53042034002242101400
641435523550110100
72360435633032404
oct260275745063024
946820134206440
1012120122222100
11395312a029222
121438b644ab330
1369bbcbccb409
142dc88d25c804
151604139ba100
hexb05ef946614

12120122222100 has 216 divisors, whose sum is σ = 38620800298080. Its totient is φ = 3178788445440.

The previous prime is 12120122222099. The next prime is 12120122222101. The reversal of 12120122222100 is 122222102121.

It is a happy number.

12120122222100 is a `hidden beast` number, since 1 + 21 + 201 + 222 + 221 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12120122222099) and next prime (12120122222101).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120122222101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12932974 + ... + 13838426.

It is an arithmetic number, because the mean of its divisors is an integer number (178800001380).

Almost surely, 212120122222100 is an apocalyptic number.

12120122222100 is a gapful number since it is divisible by the number (10) 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 12120122222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19310400149040).

12120122222100 is an abundant number, since it is smaller than the sum of its proper divisors (26500678075980).

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

12120122222100 is a wasteful number, since it uses less digits than its factorization.

12120122222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905719 (or 905709 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12120122222100 its reverse (122222102121), we get a palindrome (12242344324221).

The spelling of 12120122222100 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred".