Search a number
-
+
122200420122 = 2341168574871
BaseRepresentation
bin111000111001110110…
…1100110111100011010
3102200102100122112110000
41301303231212330122
54000231301420442
6132045455033430
711554145301264
oct1616355467432
9380370575400
10122200420122
1147908a51350
121b82480b876
13b6a6035001
145cb3692b34
1532a3256d4c
hex1c73b66f1a

122200420122 has 40 divisors (see below), whose sum is σ = 298712142432. Its totient is φ = 37030429800.

The previous prime is 122200420117. The next prime is 122200420123. The reversal of 122200420122 is 221024002221.

122200420122 is a `hidden beast` number, since 1 + 2 + 220 + 0 + 420 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122200420095 and 122200420104.

It is not an unprimeable number, because it can be changed into a prime (122200420123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34285654 + ... + 34289217.

Almost surely, 2122200420122 is an apocalyptic number.

122200420122 is an abundant number, since it is smaller than the sum of its proper divisors (176511722310).

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

122200420122 is a wasteful number, since it uses less digits than its factorization.

122200420122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68574896 (or 68574887 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122200420122 its reverse (221024002221), we get a palindrome (343224422343).

The spelling of 122200420122 in words is "one hundred twenty-two billion, two hundred million, four hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 68574871 137149742 205724613 411449226 617173839 754323581 1234347678 1508647162 1851521517 2262970743 3703043034 4525941486 5554564551 6788912229 11109129102 13577824458 20366736687 40733473374 61100210061 122200420122