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122001131100 = 22352406670437
BaseRepresentation
bin111000110011111010…
…1011000011001011100
3102122220110122121022010
41301213311120121130
53444324242143400
6132014015351220
711546205334602
oct1614765303134
9378813577263
10122001131100
1147816504582
121b789b22510
13b673969504
145c95017872
1532909dd450
hex1c67d5865c

122001131100 has 36 divisors (see below), whose sum is σ = 352989940184. Its totient is φ = 32533634880.

The previous prime is 122001131039. The next prime is 122001131107. The reversal of 122001131100 is 1131100221.

122001131100 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1220011311004 (a number of 45 digits) contains 4444 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 (122001131107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203334919 + ... + 203335518.

Almost surely, 2122001131100 is an apocalyptic number.

122001131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001131100 is an abundant number, since it is smaller than the sum of its proper divisors (230988809084).

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

122001131100 is a wasteful number, since it uses less digits than its factorization.

122001131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406670454 (or 406670447 counting only the distinct ones).

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

Adding to 122001131100 its reverse (1131100221), we get a palindrome (123132231321).

The spelling of 122001131100 in words is "one hundred twenty-two billion, one million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 406670437 813340874 1220011311 1626681748 2033352185 2440022622 4066704370 4880045244 6100056555 8133408740 10166760925 12200113110 20333521850 24400226220 30500282775 40667043700 61000565550 122001131100