Search a number
-
+
122407029220 = 2257874335923
BaseRepresentation
bin111001000000000000…
…1110000100111100100
3102200221202102100211211
41302000001300213210
54001142144413340
6132122155241204
711562234403210
oct1620001604744
9380852370754
10122407029220
1147a04638873
121b881a49204
13b709a94608
145cd2cb5940
1532b64695ea
hex1c800709e4

122407029220 has 24 divisors (see below), whose sum is σ = 293776870464. Its totient is φ = 41968124256.

The previous prime is 122407029209. The next prime is 122407029221. The reversal of 122407029220 is 22920704221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122407029221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437167822 + ... + 437168101.

It is an arithmetic number, because the mean of its divisors is an integer number (12240702936).

Almost surely, 2122407029220 is an apocalyptic number.

122407029220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122407029220 is an abundant number, since it is smaller than the sum of its proper divisors (171369841244).

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

122407029220 is a wasteful number, since it uses less digits than its factorization.

122407029220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874335939 (or 874335937 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 122407029220 in words is "one hundred twenty-two billion, four hundred seven million, twenty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 874335923 1748671846 3497343692 4371679615 6120351461 8743359230 12240702922 17486718460 24481405844 30601757305 61203514610 122407029220