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122133013120 = 275190832833
BaseRepresentation
bin111000110111110110…
…0011110001010000000
3102200020122210220102101
41301233230132022000
54000112022404440
6132035050200144
711552366324356
oct1615754361200
9380218726371
10122133013120
11478839a1488
121b806123054
13b695093801
145ca87477d6
15329c38e69a
hex1c6fb1e280

122133013120 has 32 divisors (see below), whose sum is σ = 291974236020. Its totient is φ = 48853204992.

The previous prime is 122133013097. The next prime is 122133013141. The reversal of 122133013120 is 21310331221.

It can be written as a sum of positive squares in 2 ways, for example, as 121544271424 + 588741696 = 348632^2 + 24264^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95415777 + ... + 95417056.

Almost surely, 2122133013120 is an apocalyptic number.

122133013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133013120 is an abundant number, since it is smaller than the sum of its proper divisors (169841222900).

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

122133013120 is an equidigital number, since it uses as much as digits as its factorization.

122133013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190832852 (or 190832840 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 122133013120 its reverse (21310331221), we get a palindrome (143443344341).

The spelling of 122133013120 in words is "one hundred twenty-two billion, one hundred thirty-three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 190832833 381665666 763331332 954164165 1526662664 1908328330 3053325328 3816656660 6106650656 7633313320 12213301312 15266626640 24426602624 30533253280 61066506560 122133013120