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122130544341056 = 2641263176972063
BaseRepresentation
bin11011110001001110111011…
…101101100011000001000000
3121000102120021121211112002012
4123301032323231203001000
5112001441323322403211
61111425555244112052
734503432512241566
oct3361167355430100
9530376247745065
10122130544341056
1135a07300386669
1211845874235628
13531bb26574364
142223215403a36
15e1bd6816cd8b
hex6f13bbb63040

122130544341056 has 56 divisors (see below), whose sum is σ = 249207813195264. Its totient is φ = 59349350712320.

The previous prime is 122130544341037. The next prime is 122130544341073. The reversal of 122130544341056 is 650143445031221.

It is a super-2 number, since 2×1221305443410562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87795920 + ... + 89176143.

It is an arithmetic number, because the mean of its divisors is an integer number (4450139521344).

Almost surely, 2122130544341056 is an apocalyptic number.

122130544341056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122130544341056 is an abundant number, since it is smaller than the sum of its proper divisors (127077268854208).

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

122130544341056 is a wasteful number, since it uses less digits than its factorization.

122130544341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176972379 (or 176972369 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

Adding to 122130544341056 its reverse (650143445031221), we get a palindrome (772273989372277).

The spelling of 122130544341056 in words is "one hundred twenty-two trillion, one hundred thirty billion, five hundred forty-four million, three hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 263 328 526 656 1052 1312 2104 2624 4208 8416 10783 16832 21566 43132 86264 172528 345056 690112 176972063 353944126 707888252 1415776504 2831553008 5663106016 7255854583 11326212032 14511709166 29023418332 46543652569 58046836664 93087305138 116093673328 186174610276 232187346656 372349220552 464374693312 744698441104 1489396882208 1908289755329 2978793764416 3816579510658 7633159021316 15266318042632 30532636085264 61065272170528 122130544341056