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121225520022313 = 72172979127500173
BaseRepresentation
bin11011100100000100000100…
…000011110000001100101001
3120220020001020220220121020111
4123210010010003300030221
5111342124331111203223
61105454122440054321
734351153252406500
oct3344040403601451
9526201226817214
10121225520022313
11356984aa789833
121171a3994643a1
135284695bc35a5
1421d14bca29837
15e035499d430d
hex6e41040f0329

121225520022313 has 96 divisors (see below), whose sum is σ = 157648442572800. Its totient is φ = 92493630867456.

The previous prime is 121225520022289. The next prime is 121225520022323. The reversal of 121225520022313 is 313220025522121.

It is not a de Polignac number, because 121225520022313 - 25 = 121225520022281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121225520022323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242117095 + ... + 242617267.

It is an arithmetic number, because the mean of its divisors is an integer number (1642171276800).

Almost surely, 2121225520022313 is an apocalyptic number.

It is an amenable number.

121225520022313 is a deficient number, since it is larger than the sum of its proper divisors (36422922550487).

121225520022313 is a wasteful number, since it uses less digits than its factorization.

121225520022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500439 (or 500432 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 121225520022313 its reverse (313220025522121), we get a palindrome (434445545544434).

The spelling of 121225520022313 in words is "one hundred twenty-one trillion, two hundred twenty-five billion, five hundred twenty million, twenty-two thousand, three hundred thirteen".

Divisors: 1 7 17 29 49 79 119 127 203 493 553 833 889 1343 1421 2159 2291 3451 3683 3871 6223 9401 10033 15113 16037 24157 25781 38947 62611 65807 70231 105791 112259 170561 180467 272629 290957 438277 491617 500173 1193927 1908403 2036699 3067939 3501211 4946269 8357489 8502941 14256893 14505017 24508477 34623883 39513667 59520587 63521971 101535119 242367181 246585289 276595669 416644109 444653797 671732339 710745833 1079873507 1145896343 1726097023 1842137159 1936169683 3112576579 4702126373 5018235709 7559114549 8021274401 12082679161 12894960113 19480237831 31316331703 32914884611 35127649963 52913801843 56148920807 85310007053 90264720791 136361664817 145528835561 219214321921 245893549741 597170049371 954531653719 1018701848927 1534500253447 2473990204537 4180190345597 7130912942489 17317931431759 121225520022313