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122311224330420 = 22355173373940411
BaseRepresentation
bin11011110011110111001101…
…000101000000100010110100
3121001001211122112002222101010
4123303313031011000202310
5112012421341412033140
61112045000055232220
734522460105641146
oct3363671505004264
9531054575088333
10122311224330420
1135a7699853a924
1211874899678670
135332b8c03ca78
14222bc75648c96
15e218e03e4880
hex6f3dcd1408b4

122311224330420 has 48 divisors (see below), whose sum is σ = 342472177027008. Its totient is φ = 32616255164160.

The previous prime is 122311224330391. The next prime is 122311224330431. The reversal of 122311224330420 is 24033422113221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 29070015 + ... + 33010425.

It is an arithmetic number, because the mean of its divisors is an integer number (7134837021396).

Almost surely, 2122311224330420 is an apocalyptic number.

122311224330420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122311224330420 is an abundant number, since it is smaller than the sum of its proper divisors (220160952696588).

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

122311224330420 is a wasteful number, since it uses less digits than its factorization.

122311224330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457760 (or 4457758 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 122311224330420 its reverse (24033422113221), we get a palindrome (146344646443641).

The spelling of 122311224330420 in words is "one hundred twenty-two trillion, three hundred eleven billion, two hundred twenty-four million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 517337 1034674 1552011 2069348 2586685 3104022 3940411 5173370 6208044 7760055 7880822 10346740 11821233 15520110 15761644 19702055 23642466 31040220 39404110 47284932 59106165 78808220 118212330 236424660 2038520405507 4077040811014 6115561216521 8154081622028 10192602027535 12231122433042 20385204055070 24462244866084 30577806082605 40770408110140 61155612165210 122311224330420