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122134248 = 23325928751
BaseRepresentation
bin1110100011110…
…01111011101000
322111211001200200
413101321323220
5222231243443
620041432200
73012060345
oct721717350
9274731620
10122134248
1162a3a2a5
1234a9b660
131c3c34b2
14123137cc
15aac7dd3
hex7479ee8

122134248 has 48 divisors (see below), whose sum is σ = 336398400. Its totient is φ = 40020000.

The previous prime is 122134241. The next prime is 122134277. The reversal of 122134248 is 842431221.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122134241) 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, 10128 + ... + 18623.

It is an arithmetic number, because the mean of its divisors is an integer number (7008300).

Almost surely, 2122134248 is an apocalyptic number.

122134248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122134248 is an abundant number, since it is smaller than the sum of its proper divisors (214264152).

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

122134248 is a wasteful number, since it uses less digits than its factorization.

122134248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28822 (or 28815 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 122134248 is about 11051.4364677177. The cubic root of 122134248 is about 496.1494195165.

Adding to 122134248 its reverse (842431221), we get a palindrome (964565469).

It can be divided in two parts, 12213 and 4248, that added together give a palindrome (16461).

The spelling of 122134248 in words is "one hundred twenty-two million, one hundred thirty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4248 28751 57502 86253 115004 172506 230008 258759 345012 517518 690024 1035036 1696309 2070072 3392618 5088927 6785236 10177854 13570472 15266781 20355708 30533562 40711416 61067124 122134248