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122040320 = 212559101
BaseRepresentation
bin1110100011000…
…11000000000000
322111122021211212
413101203000000
5222220242240
620035425252
73011216453
oct721430000
9274567755
10122040320
1162985776
1234a55228
131c38c80c
14122cb49a
15aaaa165
hex7463000

122040320 has 104 divisors (see below), whose sum is σ = 300773520. Its totient is φ = 47513600.

The previous prime is 122040307. The next prime is 122040329. The reversal of 122040320 is 23040221.

It is a junction number, because it is equal to n+sod(n) for n = 122040295 and 122040304.

It is not an unprimeable number, because it can be changed into a prime (122040329) 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, 1208270 + ... + 1208370.

Almost surely, 2122040320 is an apocalyptic number.

122040320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150386760).

122040320 is an abundant number, since it is smaller than the sum of its proper divisors (178733200).

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

122040320 is an equidigital number, since it uses as much as digits as its factorization.

122040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 122040320 is about 11047.1860670489. The cubic root of 122040320 is about 496.0221981047.

Adding to 122040320 its reverse (23040221), we get a palindrome (145080541).

Subtracting from 122040320 its reverse (23040221), we obtain a palindrome (99000099).

The spelling of 122040320 in words is "one hundred twenty-two million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 101 118 128 160 202 236 256 295 320 404 472 505 512 590 640 808 944 1010 1024 1180 1280 1616 1888 2020 2048 2360 2560 3232 3776 4040 4096 4720 5120 5959 6464 7552 8080 9440 10240 11918 12928 15104 16160 18880 20480 23836 25856 29795 30208 32320 37760 47672 51712 59590 60416 64640 75520 95344 103424 119180 120832 129280 151040 190688 206848 238360 241664 258560 302080 381376 413696 476720 517120 604160 762752 953440 1034240 1208320 1525504 1906880 2068480 3051008 3813760 6102016 7627520 12204032 15255040 24408064 30510080 61020160 122040320