Search a number
-
+
122122112221100 = 22521459837026129
BaseRepresentation
bin11011110001000111000101…
…000111100011111110101100
3121000101202111222022110001002
4123301013011013203332230
5112001322041212033400
61111422042430335432
734503013533351515
oct3361070507437654
9530352458273032
10122122112221100
1135a037736a5092
121184410035a578
13531b0b1654a74
142222a555b3a0c
15e1ba22c66ed5
hex6f11c51e3fac

122122112221100 has 36 divisors (see below), whose sum is σ = 265186618506600. Its totient is φ = 48815363784960.

The previous prime is 122122112221091. The next prime is 122122112221121. The reversal of 122122112221100 is 1122211221221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418367165 + ... + 418658964.

Almost surely, 2122122112221100 is an apocalyptic number.

122122112221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122112221100 is an abundant number, since it is smaller than the sum of its proper divisors (143064506285500).

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

122122112221100 is a wasteful number, since it uses less digits than its factorization.

122122112221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837027602 (or 837027595 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122122112221100 its reverse (1122211221221), we get a palindrome (123244323442321).

The spelling of 122122112221100 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1459 2918 5836 7295 14590 29180 36475 72950 145900 837026129 1674052258 3348104516 4185130645 8370261290 16740522580 20925653225 41851306450 83702612900 1221221122211 2442442244422 4884884488844 6106105611055 12212211222110 24424422444220 30530528055275 61061056110550 122122112221100