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122021231002320 = 24351339109368911
BaseRepresentation
bin11011101111101001001000…
…001000010000001011010000
3121000001010010101111112212210
4123233221020020100023100
5111443143440114033240
61111303440223552120
734462512566216166
oct3357511010201320
9530033111445783
10122021231002320
1135974a058a5301
121182864745b640
1353117253c63c0
14221bc054c5236
15e190bb4b0780
hex6efa482102d0

122021231002320 has 80 divisors (see below), whose sum is σ = 407363186587392. Its totient is φ = 30035995322880.

The previous prime is 122021231002301. The next prime is 122021231002331. The reversal of 122021231002320 is 23200132120221.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 19554681336 + ... + 19554687575.

Almost surely, 2122021231002320 is an apocalyptic number.

122021231002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021231002320 is an abundant number, since it is smaller than the sum of its proper divisors (285341955585072).

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

122021231002320 is a wasteful number, since it uses less digits than its factorization.

122021231002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39109368940 (or 39109368934 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122021231002320 its reverse (23200132120221), we get a palindrome (145221363122541).

The spelling of 122021231002320 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred thirty-one million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 39109368911 78218737822 117328106733 156437475644 195546844555 234656213466 312874951288 391093689110 469312426932 508421795843 586640533665 625749902576 782187378220 938624853864 1016843591686 1173281067330 1525265387529 1564374756440 1877249707728 2033687183372 2346562134660 2542108979215 3050530775058 3128749512880 4067374366744 4693124269320 5084217958430 6101061550116 7626326937645 8134748733488 9386248538640 10168435916860 12202123100232 15252653875290 20336871833720 24404246200464 30505307750580 40673743667440 61010615501160 122021231002320