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122020122202112 = 212197272156669
BaseRepresentation
bin11011101111101000000110…
…000010100001000000000000
3121000001000021010002122221102
4123233220012002201000000
5111443134202240431422
61111303134214313532
734462443243451421
oct3357500602410000
9530030233078842
10122020122202112
1135974496a1a2a2
12118283980588a8
1353115a9783cc4
14221bb3c135648
15e19053e8c192
hex6efa060a1000

122020122202112 has 104 divisors (see below), whose sum is σ = 257206534603200. Its totient is φ = 57719475044352.

The previous prime is 122020122202067. The next prime is 122020122202217. The reversal of 122020122202112 is 211202221020221.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55499714 + ... + 57656382.

It is an arithmetic number, because the mean of its divisors is an integer number (2473139755800).

Almost surely, 2122020122202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128603267301600).

122020122202112 is an abundant number, since it is smaller than the sum of its proper divisors (135186412401088).

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

122020122202112 is an equidigital number, since it uses as much as digits as its factorization.

122020122202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157439 (or 2157417 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122020122202112 its reverse (211202221020221), we get a palindrome (333222343222333).

The spelling of 122020122202112 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 727 1024 1216 1454 2048 2432 2908 4096 4864 5816 9728 11632 13813 19456 23264 27626 38912 46528 55252 77824 93056 110504 186112 221008 372224 442016 744448 884032 1488896 1768064 2156669 2977792 3536128 4313338 7072256 8626676 14144512 17253352 28289024 34506704 40976711 56578048 69013408 81953422 138026816 163906844 276053632 327813688 552107264 655627376 1104214528 1311254752 1567898363 2208429056 2622509504 3135796726 4416858112 5245019008 6271593452 8833716224 10490038016 12543186904 20980076032 25086373808 29790068897 41960152064 50172747616 59580137794 83920304128 100345495232 119160275588 167840608256 200690990464 238320551176 401381980928 476641102352 802763961856 953282204704 1605527923712 1906564409408 3211055847424 3813128818816 6422111694848 7626257637632 15252515275264 30505030550528 61010061101056 122020122202112