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122200202120 = 23511172735009
BaseRepresentation
bin111000111001110110…
…0110001101110001000
3102200102100020110101212
41301303230301232020
54000231222431440
6132045450232252
711554143402563
oct1616354615610
9380370213355
10122200202120
1147908912587
121b824725688
13b6a5c89a09
145cb36374da
1532a3212465
hex1c73b31b88

122200202120 has 32 divisors (see below), whose sum is σ = 275196706200. Its totient is φ = 48836302848.

The previous prime is 122200202101. The next prime is 122200202143. The reversal of 122200202120 is 21202002221.

It can be written as a sum of positive squares in 4 ways, for example, as 77786325604 + 44413876516 = 278902^2 + 210746^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122200202095 and 122200202104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1322825 + ... + 1412184.

Almost surely, 2122200202120 is an apocalyptic number.

122200202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200202120 is an abundant number, since it is smaller than the sum of its proper divisors (152996504080).

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

122200202120 is a wasteful number, since it uses less digits than its factorization.

122200202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736137 (or 2736133 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122200202120 its reverse (21202002221), we get a palindrome (143402204341).

The spelling of 122200202120 in words is "one hundred twenty-two billion, two hundred million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1117 2234 4468 5585 8936 11170 22340 44680 2735009 5470018 10940036 13675045 21880072 27350090 54700180 109400360 3055005053 6110010106 12220020212 15275025265 24440040424 30550050530 61100101060 122200202120