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123141120 = 210358017
BaseRepresentation
bin1110101011011…
…11110000000000
322120201012212020
413111233300000
5223011003440
620115201440
73023453004
oct725576000
9276635766
10123141120
1163567823
12352a6280
131c68688b
14124d6704
15ac263d0
hex756fc00

123141120 has 88 divisors (see below), whose sum is σ = 393908304. Its totient is φ = 32833536.

The previous prime is 123141107. The next prime is 123141131. The reversal of 123141120 is 21141321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123141120.

It is a congruent number.

It is an unprimeable number.

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, 11352 + ... + 19368.

Almost surely, 2123141120 is an apocalyptic number.

123141120 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 123141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196954152).

123141120 is an abundant number, since it is smaller than the sum of its proper divisors (270767184).

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

123141120 is an equidigital number, since it uses as much as digits as its factorization.

123141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 123141120 is about 11096.8968635380. The cubic root of 123141120 is about 497.5091048223.

Adding to 123141120 its reverse (21141321), we get a palindrome (144282441).

The spelling of 123141120 in words is "one hundred twenty-three million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 8017 15360 16034 24051 32068 40085 48102 64136 80170 96204 120255 128272 160340 192408 240510 256544 320680 384816 481020 513088 641360 769632 962040 1026176 1282720 1539264 1924080 2052352 2565440 3078528 3848160 4104704 5130880 6157056 7696320 8209408 10261760 12314112 15392640 20523520 24628224 30785280 41047040 61570560 123141120