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122112210000 = 24354113773137
BaseRepresentation
bin111000110111001110…
…1000111010001010000
3102200012012122222220110
41301232131013101100
54000041211210000
6132033024241320
711552024442024
oct1615635072120
9380165588813
10122112210000
1147873182820
121b7bb170240
13b69098b981
145ca5a90384
15329a630850
hex1c6e747450

122112210000 has 800 divisors, whose sum is σ = 450970743168. Its totient is φ = 28200960000.

The previous prime is 122112209993. The next prime is 122112210007. The reversal of 122112210000 is 12211221.

It is an interprime number because it is at equal distance from previous prime (122112209993) and next prime (122112210007).

It is a super-2 number, since 2×1221122100002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112210007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 891329932 + ... + 891330068.

Almost surely, 2122112210000 is an apocalyptic number.

122112210000 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 122112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225485371584).

122112210000 is an abundant number, since it is smaller than the sum of its proper divisors (328858533168).

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

122112210000 is a wasteful number, since it uses less digits than its factorization.

122112210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

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

Adding to 122112210000 its reverse (12211221), we get a palindrome (122124421221).

122112210000 divided by its reverse (12211221) gives a 4-th power (10000 = 104).

It can be divided in two parts, 1221 and 12210000, that multiplied together give a square (14908410000 = 1221002).

The spelling of 122112210000 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand".