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122332410420 = 223511296391453
BaseRepresentation
bin111000111101110010…
…1000111001000110100
3102200202120000100002120
41301323211013020310
54001014044113140
6132110532035540
711560340221533
oct1617345071064
9380676010076
10122332410420
1147976502640
121b860a62bb0
13b6c749968c
145cc701031a
1532aeb2a1d0
hex1c7b947234

122332410420 has 96 divisors (see below), whose sum is σ = 386555137920. Its totient is φ = 28633704960.

The previous prime is 122332410413. The next prime is 122332410437. The reversal of 122332410420 is 24014233221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3176587 + ... + 3214866.

It is an arithmetic number, because the mean of its divisors is an integer number (4026616020).

Almost surely, 2122332410420 is an apocalyptic number.

122332410420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122332410420 is an abundant number, since it is smaller than the sum of its proper divisors (264222727500).

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

122332410420 is a wasteful number, since it uses less digits than its factorization.

122332410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391505 (or 6391503 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122332410420 its reverse (24014233221), we get a palindrome (146346643641).

The spelling of 122332410420 in words is "one hundred twenty-two billion, three hundred thirty-two million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 19140 6391453 12782906 19174359 25565812 31957265 38348718 63914530 70305983 76697436 95871795 127829060 140611966 185352137 191743590 210917949 281223932 351529915 370704274 383487180 421835898 556056411 703059830 741408548 843671796 926760685 1054589745 1112112822 1406119660 1853521370 2038873507 2109179490 2224225644 2780282055 3707042740 4077747014 4218358980 5560564110 6116620521 8155494028 10194367535 11121128220 12233241042 20388735070 24466482084 30583102605 40777470140 61166205210 122332410420