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122210121000 = 23353112336667
BaseRepresentation
bin111000111010001001…
…0100111010100101000
3102200110000220101112210
41301310102213110220
54000241242333000
6132050443005120
711554323613602
oct1616422472450
9380400811483
10122210121000
1147913477800
121b827b097a0
13b6a8050686
145cb4a9a172
1532a4021350
hex1c744a7528

122210121000 has 192 divisors, whose sum is σ = 419111259840. Its totient is φ = 29626608000.

The previous prime is 122210120993. The next prime is 122210121013. The reversal of 122210121000 is 121012221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194667 + ... + 531333.

It is an arithmetic number, because the mean of its divisors is an integer number (2182871145).

Almost surely, 2122210121000 is an apocalyptic number.

122210121000 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 122210121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209555629920).

122210121000 is an abundant number, since it is smaller than the sum of its proper divisors (296901138840).

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

122210121000 is a wasteful number, since it uses less digits than its factorization.

122210121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336713 (or 336688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122210121000 its reverse (121012221), we get a palindrome (122331133221).

The spelling of 122210121000 in words is "one hundred twenty-two billion, two hundred ten million, one hundred twenty-one thousand".