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122133121002 = 2334397514379
BaseRepresentation
bin111000110111110110…
…0111000011111101010
3102200020200000101102000
41301233230320133222
54000112034333002
6132035052351430
711552400254034
oct1615754703752
9380220011360
10122133121002
1147883a65542
121b806175576
13b695100949
145ca8774c54
15329c3b161c
hex1c6fb387ea

122133121002 has 32 divisors (see below), whose sum is σ = 271469188800. Its totient is φ = 40701702384.

The previous prime is 122133120979. The next prime is 122133121009. The reversal of 122133121002 is 200121331221.

122133121002 is a `hidden beast` number, since 122 + 1 + 331 + 210 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122133121009) by changing a digit.

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, 19752 + ... + 494627.

It is an arithmetic number, because the mean of its divisors is an integer number (8483412150).

Almost surely, 2122133121002 is an apocalyptic number.

122133121002 is an abundant number, since it is smaller than the sum of its proper divisors (149336067798).

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

122133121002 is a wasteful number, since it uses less digits than its factorization.

122133121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518787 (or 518781 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122133121002 its reverse (200121331221), we get a palindrome (322254452223).

The spelling of 122133121002 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 4397 8794 13191 26382 39573 79146 118719 237438 514379 1028758 1543137 3086274 4629411 9258822 13888233 27776466 2261724463 4523448926 6785173389 13570346778 20355520167 40711040334 61066560501 122133121002