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122030404030221 = 37310713782346187
BaseRepresentation
bin11011101111110001101010…
…111000100100111100001101
3121000001222210200011122112220
4123233301222320210330031
5111443321231412431341
61111311554345445553
734463256112526601
oct3357615270447415
9530058720148486
10122030404030221
11359788928269a5
121182a3874a08b9
135312557978c6b
14221c43589b501
15e19456969a66
hex6efc6ae24f0d

122030404030221 has 64 divisors (see below), whose sum is σ = 167900087236608. Its totient is φ = 78811471162368.

The previous prime is 122030404030207. The next prime is 122030404030261.

It is a happy number.

122030404030221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122030404030221 - 241 = 119831380774669 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122030404030191 and 122030404030200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122030404030261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2642071090 + ... + 2642117276.

It is an arithmetic number, because the mean of its divisors is an integer number (2623438863072).

Almost surely, 2122030404030221 is an apocalyptic number.

It is an amenable number.

122030404030221 is a deficient number, since it is larger than the sum of its proper divisors (45869683206387).

122030404030221 is a wasteful number, since it uses less digits than its factorization.

122030404030221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47330.

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

It can be divided in two parts, 12203040 and 4030221, that added together give a palindrome (16233261).

The spelling of 122030404030221 in words is "one hundred twenty-two trillion, thirty billion, four hundred four million, thirty thousand, two hundred twenty-one".

Divisors: 1 3 73 107 137 219 321 411 823 2469 7811 10001 14659 23433 30003 43977 46187 60079 88061 112751 138561 180237 264183 338253 1070107 3210321 3371651 4942009 6327619 6428453 8230823 10114953 12064357 14826027 18982857 19285359 24692469 36193071 38011901 114035703 360766657 461916187 677055233 880698061 1082299971 1385748561 2031165699 2642094183 2774868773 4067273407 5207630437 8324606319 12201820221 15622891311 49425032009 148275096027 296910958711 380157021901 557216456759 890732876133 1140471065703 1671649370277 40676801343407 122030404030221