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122122202112 = 2103213251107
BaseRepresentation
bin111000110111100001…
…1001110110000000000
3102200012220110122111200
41301233003032300000
54000101240431422
6132034022341200
711552205406401
oct1615703166000
9380186418450
10122122202112
1147878887a69
121b80258a800
13b692a79a71
145ca71319a8
15329b4562ac
hex1c6f0cec00

122122202112 has 66 divisors (see below), whose sum is σ = 352625234988. Its totient is φ = 40707397632.

The previous prime is 122122202107. The next prime is 122122202117. The reversal of 122122202112 is 211202221221.

It is a happy number.

122122202112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122122202107) and next prime (122122202117).

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 (122122202117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6616338 + ... + 6634769.

Almost surely, 2122122202112 is an apocalyptic number.

122122202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122122202112 is an abundant number, since it is smaller than the sum of its proper divisors (230503032876).

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

122122202112 is a wasteful number, since it uses less digits than its factorization.

122122202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13251133 (or 13251112 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122122202112 its reverse (211202221221), we get a palindrome (333324423333).

The spelling of 122122202112 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 13251107 26502214 39753321 53004428 79506642 106008856 119259963 159013284 212017712 238519926 318026568 424035424 477039852 636053136 848070848 954079704 1272106272 1696141696 1908159408 2544212544 3392283392 3816318816 5088425088 6784566784 7632637632 10176850176 13569133568 15265275264 20353700352 30530550528 40707400704 61061101056 122122202112