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122103332131220 = 2251119124135334157
BaseRepresentation
bin11011110000110101100101…
…101111001101000110010100
3121000022222001011021000212122
4123300311211233031012110
5112001020111011144340
61111405255120035112
734501450253256056
oct3360654557150624
9530288034230778
10122103332131220
11359a6806840650
121184053aa62a98
1353193aa922b4b
142221b933218d6
15e1b2c416adb5
hex6f0d65bcd194

122103332131220 has 192 divisors, whose sum is σ = 283167122337792. Its totient is φ = 43859582976000.

The previous prime is 122103332131087. The next prime is 122103332131223. The reversal of 122103332131220 is 22131233301221.

It is a self number, because there is not a number n which added to its sum of digits gives 122103332131220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122103332131223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3574750382 + ... + 3574784538.

It is an arithmetic number, because the mean of its divisors is an integer number (1474828762176).

Almost surely, 2122103332131220 is an apocalyptic number.

122103332131220 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 122103332131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141583561168896).

122103332131220 is an abundant number, since it is smaller than the sum of its proper divisors (161063790206572).

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

122103332131220 is a wasteful number, since it uses less digits than its factorization.

122103332131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34962 (or 34960 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 122103332131220 its reverse (22131233301221), we get a palindrome (144234565432441).

The spelling of 122103332131220 in words is "one hundred twenty-two trillion, one hundred three billion, three hundred thirty-two million, one hundred thirty-one thousand, two hundred twenty".