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122013234320 = 2453134872733
BaseRepresentation
bin111000110100010001…
…1100011010010010000
3102122221022102111210112
41301220203203102100
53444340341444240
6132015131020452
711546413244135
oct1615043432220
9378838374715
10122013234320
114782232093a
121b791b9a728
13b676316493
145c9688858c
153291ace665
hex1c688e3490

122013234320 has 40 divisors (see below), whose sum is σ = 284587156536. Its totient is φ = 48649356288.

The previous prime is 122013234319. The next prime is 122013234323. The reversal of 122013234320 is 23432310221.

It can be written as a sum of positive squares in 4 ways, for example, as 7939522816 + 114073711504 = 89104^2 + 337748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (122013234323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2411327 + ... + 2461406.

Almost surely, 2122013234320 is an apocalyptic number.

122013234320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122013234320 is an abundant number, since it is smaller than the sum of its proper divisors (162573922216).

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

122013234320 is a wasteful number, since it uses less digits than its factorization.

122013234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873059 (or 4873053 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 122013234320 its reverse (23432310221), we get a palindrome (145445544541).

The spelling of 122013234320 in words is "one hundred twenty-two billion, thirteen million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 313 626 1252 1565 2504 3130 5008 6260 12520 25040 4872733 9745466 19490932 24363665 38981864 48727330 77963728 97454660 194909320 389818640 1525165429 3050330858 6100661716 7625827145 12201323432 15251654290 24402646864 30503308580 61006617160 122013234320