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21240122104212 = 22311745921572599
BaseRepresentation
bin1001101010001010110011…
…11011101101100110010100
32210012112110121222200121220
410311011121323231212110
510240444232224313322
6113101324414410340
74321356012002454
oct465053173554624
983175417880556
1021240122104212
116849981220940
122470589b009b0
13bb0c200338bb
14536055259d64
1526c78712755c
hex135159eed994

21240122104212 has 48 divisors (see below), whose sum is σ = 54073016256000. Its totient is φ = 6435537435360.

The previous prime is 21240122104127. The next prime is 21240122104231.

21240122104212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×212401221042122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9801712 + ... + 11770887.

It is an arithmetic number, because the mean of its divisors is an integer number (1126521172000).

Almost surely, 221240122104212 is an apocalyptic number.

21240122104212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21240122104212 is an abundant number, since it is smaller than the sum of its proper divisors (32832894151788).

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

21240122104212 is a wasteful number, since it uses less digits than its factorization.

21240122104212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21580076 (or 21580074 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 2124012 and 2104212, that added together give a palindrome (4228224).

The spelling of 21240122104212 in words is "twenty-one trillion, two hundred forty billion, one hundred twenty-two million, one hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 7459 14918 22377 29836 44754 82049 89508 164098 246147 328196 492294 984588 21572599 43145198 64717797 86290396 129435594 237298589 258871188 474597178 711895767 949194356 1423791534 2847583068 160910015941 321820031882 482730047823 643640063764 965460095646 1770010175351 1930920191292 3540020350702 5310030526053 7080040701404 10620061052106 21240122104212