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120330103122 = 23323709136649
BaseRepresentation
bin111000000010000111…
…0111010100101010010
3102111121000022120212000
41300010032322211102
53432414001244442
6131140123414430
711456615000115
oct1600416724522
9374530276760
10120330103122
114703922a519
121b3a2384416
13b4686c5068
145b7711457c
1531e3e5dd4c
hex1c043ba952

120330103122 has 64 divisors (see below), whose sum is σ = 279421920000. Its totient is φ = 38311726464.

The previous prime is 120330103109. The next prime is 120330103147. The reversal of 120330103122 is 221301033021.

120330103122 is a `hidden beast` number, since 1 + 20 + 330 + 1 + 0 + 312 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120330103095 and 120330103104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812254 + ... + 948902.

It is an arithmetic number, because the mean of its divisors is an integer number (4365967500).

Almost surely, 2120330103122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120330103122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139710960000).

120330103122 is an abundant number, since it is smaller than the sum of its proper divisors (159091816878).

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

120330103122 is a wasteful number, since it uses less digits than its factorization.

120330103122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137392 (or 137386 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120330103122 its reverse (221301033021), we get a palindrome (341631136143).

The spelling of 120330103122 in words is "one hundred twenty billion, three hundred thirty million, one hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 709 1242 1418 2127 4254 6381 12762 16307 19143 32614 38286 48921 97842 136649 146763 273298 293526 409947 440289 819894 880578 1229841 2459682 3142927 3689523 6285854 7379046 9428781 18857562 28286343 56572686 84859029 96884141 169718058 193768282 290652423 581304846 871957269 1743914538 2228335243 2615871807 4456670486 5231743614 6685005729 13370011458 20055017187 40110034374 60165051561 120330103122