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122020341124432 = 24293116750796769
BaseRepresentation
bin11011101111101000010011…
…000101101000110101010000
3121000001000211101001001220111
4123233220103011220311100
5111443140124311440212
61111303212034451104
734462451542326052
oct3357502305506520
9530030741031814
10122020341124432
1135974599556933
1211828439433a94
135311612c3503a
14221bb5d2418d2
15e190682d2ea7
hex6efa13168d50

122020341124432 has 80 divisors (see below), whose sum is σ = 253967595033600. Its totient is φ = 56664810639360.

The previous prime is 122020341124417. The next prime is 122020341124441. The reversal of 122020341124432 is 234421143020221.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 122020341124394 and 122020341124403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22996257 + ... + 27800512.

It is an arithmetic number, because the mean of its divisors is an integer number (3174594937920).

Almost surely, 2122020341124432 is an apocalyptic number.

It is an amenable number.

122020341124432 is an abundant number, since it is smaller than the sum of its proper divisors (131947253909168).

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

122020341124432 is a wasteful number, since it uses less digits than its factorization.

122020341124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50797004 (or 50796998 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 122020341124432 its reverse (234421143020221), we get a palindrome (356441484144653).

The spelling of 122020341124432 in words is "one hundred twenty-two trillion, twenty billion, three hundred forty-one million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 167 232 248 334 464 496 668 899 1336 1798 2672 3596 4843 5177 7192 9686 10354 14384 19372 20708 38744 41416 77488 82832 150133 300266 600532 1201064 2402128 50796769 101593538 203187076 406374152 812748304 1473106301 1574699839 2946212602 3149399678 5892425204 6298799356 8483060423 11784850408 12597598712 16966120846 23569700816 25195197424 33932241692 45666295331 67864483384 91332590662 135728966768 182665181324 246008752267 262974873113 365330362648 492017504534 525949746226 730660725296 984035009068 1051899492452 1968070018136 2103798984904 3936140036272 4207597969808 7626271320277 15252542640554 30505085281108 61010170562216 122020341124432