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122414003423130 = 23543972074947149
BaseRepresentation
bin11011110101010110111011…
…001100001000011110011010
3121001102122221101002212010110
4123311112323030020132122
5112021112334334020010
61112204114500025150
734533056056546566
oct3365267314103632
9531378841085113
10122414003423130
113600653a673461
12118907a20921b6
13533c78b539363
142232c2580a6a6
15e244085d9120
hex6f55bb30879a

122414003423130 has 128 divisors (see below), whose sum is σ = 303746335200000. Its totient is φ = 31553680564224.

The previous prime is 122414003423071. The next prime is 122414003423149. The reversal of 122414003423130 is 31324300414221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2596298796 + ... + 2596345944.

It is an arithmetic number, because the mean of its divisors is an integer number (2373018243750).

Almost surely, 2122414003423130 is an apocalyptic number.

122414003423130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122414003423130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151873167600000).

122414003423130 is an abundant number, since it is smaller than the sum of its proper divisors (181332331776870).

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

122414003423130 is a wasteful number, since it uses less digits than its factorization.

122414003423130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68048.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 122414003423130 its reverse (31324300414221), we get a palindrome (153738303837351).

The spelling of 122414003423130 in words is "one hundred twenty-two trillion, four hundred fourteen billion, three million, four hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 97 129 194 215 258 291 430 485 582 645 970 1290 1455 2910 4171 8342 12513 20749 20855 25026 41498 41710 47149 62247 62565 94298 103745 124494 125130 141447 207490 235745 282894 311235 471490 622470 707235 892207 1414470 1784414 2012653 2027407 2676621 4025306 4054814 4461035 4573453 5353242 6037959 6082221 8922070 9146906 10063265 10137035 12075918 12164442 13383105 13720359 20126530 20274070 22867265 26766210 27440718 30189795 30411105 45734530 60379590 60822210 68601795 86544079 137203590 173088158 196658479 259632237 393316958 432720395 519264474 589975437 865440790 978294601 983292395 1179950874 1298161185 1956589202 1966584790 2596322370 2934883803 2949877185 4891473005 5869767606 5899754370 9782946010 14674419015 29348838030 42066667843 84133335686 94894576297 126200003529 189789152594 210333339215 252400007058 284683728891 420666678430 474472881485 569367457782 631000017645 948945762970 1262000035290 1423418644455 2846837288910 4080466780771 8160933561542 12241400342313 20402333903855 24482800684626 40804667807710 61207001711565 122414003423130