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122112201012 = 223191223437923
BaseRepresentation
bin111000110111001110…
…1000101000100110100
3102200012012122112120120
41301232131011010310
54000041210413022
6132033024131540
711552024403564
oct1615635050464
9380165575516
10122112201012
1147873176a9a
121b7bb166bb0
13b690987859
145ca5a8ada4
15329a62cd5c
hex1c6e745134

122112201012 has 48 divisors (see below), whose sum is σ = 300170626560. Its totient is φ = 38530129248.

The previous prime is 122112200989. The next prime is 122112201017. The reversal of 122112201012 is 210102211221.

It is a super-2 number, since 2×1221122010122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112200982 and 122112201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112201017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59883 + ... + 497805.

It is an arithmetic number, because the mean of its divisors is an integer number (6253554720).

Almost surely, 2122112201012 is an apocalyptic number.

122112201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112201012 is an abundant number, since it is smaller than the sum of its proper divisors (178058425548).

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

122112201012 is a wasteful number, since it uses less digits than its factorization.

122112201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439172 (or 439170 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122112201012 its reverse (210102211221), we get a palindrome (332214412233).

The spelling of 122112201012 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 1223 2446 3669 4892 7338 14676 23237 46474 69711 92948 139422 278844 437923 875846 1313769 1751692 2627538 5255076 8320537 16641074 24961611 33282148 49923222 99846444 535579829 1071159658 1606739487 2142319316 3213478974 6426957948 10176016751 20352033502 30528050253 40704067004 61056100506 122112201012