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122044144 = 2419593677
BaseRepresentation
bin1110100011000…
…11111011110000
322111122111002111
413101203323300
5222220403034
620035455104
73011233555
oct721437360
9274574074
10122044144
1162988632
1234a57494
131c391491
14122cca2c
15aaab364
hex7463ef0

122044144 has 40 divisors (see below), whose sum is σ = 249693840. Its totient is φ = 57627648.

The previous prime is 122044133. The next prime is 122044147. The reversal of 122044144 is 441440221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122044147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179934 + ... + 180610.

It is an arithmetic number, because the mean of its divisors is an integer number (6242346).

Almost surely, 2122044144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124846920).

122044144 is an abundant number, since it is smaller than the sum of its proper divisors (127649696).

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

122044144 is a wasteful number, since it uses less digits than its factorization.

122044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 122044144 is about 11047.3591414419. The cubic root of 122044144 is about 496.0273788217.

Adding to 122044144 its reverse (441440221), we get a palindrome (563484365).

The spelling of 122044144 in words is "one hundred twenty-two million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 593 677 1186 1354 2372 2708 4744 5416 9488 10832 11267 12863 22534 25726 45068 51452 90136 102904 180272 205808 401461 802922 1605844 3211688 6423376 7627759 15255518 30511036 61022072 122044144