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22121020212120 = 23325547128987149
BaseRepresentation
bin1010000011110011100111…
…00011010100001110011000
32220022202012221012010001100
411001321303203110032120
510344412322133241440
6115014131214151400
74442122334244504
oct501716343241630
986282187163040
1022121020212120
117059521241455
122593250ab2560
13c460071c847b
1456693d743304
1528564268e230
hex141e738d4398

22121020212120 has 192 divisors, whose sum is σ = 72081451260000. Its totient is φ = 5883519043584.

The previous prime is 22121020212119. The next prime is 22121020212191. The reversal of 22121020212120 is 2121202012122.

It is a happy number.

22121020212120 is a `hidden beast` number, since 221 + 210 + 2 + 0 + 21 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22121020212093 and 22121020212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253786306 + ... + 253873454.

Almost surely, 222121020212120 is an apocalyptic number.

22121020212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121020212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36040725630000).

22121020212120 is an abundant number, since it is smaller than the sum of its proper divisors (49960431047880).

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

22121020212120 is a wasteful number, since it uses less digits than its factorization.

22121020212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89002 (or 88995 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22121020212120 its reverse (2121202012122), we get a palindrome (24242222224242).

The spelling of 22121020212120 in words is "twenty-two trillion, one hundred twenty-one billion, twenty million, two hundred twelve thousand, one hundred twenty".