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122122102000000 = 275661061051
BaseRepresentation
bin11011110001000111000100…
…100000100100100110000000
3121000101202111021002011022211
4123301013010200210212000
5112001322031103000000
61111422041423311504
734503013350441424
oct3361070440444600
9530352437064284
10122122102000000
1135a037689538a3
12118440b8a4b594
13531b0ac4b668b
142222a540b2b84
15e1ba21de87ba
hex6f11c4824980

122122102000000 has 112 divisors (see below), whose sum is σ = 304108768686060. Its totient is φ = 48848840000000.

The previous prime is 122122101999941. The next prime is 122122102000001. The reversal of 122122102000000 is 201221221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122102000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 28530526 + ... + 32530525.

Almost surely, 2122122102000000 is an apocalyptic number.

122122102000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122102000000 is an abundant number, since it is smaller than the sum of its proper divisors (181986666686060).

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

122122102000000 is an frugal number, since it uses more digits than its factorization.

122122102000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61061095 (or 61061058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122122102000000 its reverse (201221221), we get a palindrome (122122303221221).

The spelling of 122122102000000 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 61061051 122122102 244244204 305305255 488488408 610610510 976976816 1221221020 1526526275 1953953632 2442442040 3053052550 3907907264 4884884080 6106105100 7632631375 7815814528 9769768160 12212210200 15265262750 19539536320 24424420400 30530525500 38163156875 39079072640 48848840800 61061051000 76326313750 97697681600 122122102000 152652627500 190815784375 195395363200 244244204000 305305255000 381631568750 488488408000 610610510000 763263137500 954078921875 976976816000 1221221020000 1526526275000 1908157843750 2442442040000 3053052550000 3816315687500 4884884080000 6106105100000 7632631375000 12212210200000 15265262750000 24424420400000 30530525500000 61061051000000 122122102000000