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121221102201120 = 253253110950349529
BaseRepresentation
bin11011100011111111111100…
…101111000110100100100000
3120220012121212001000000212100
4123203333330233012210200
5111342041304130413440
61105452112222530400
734350635626505355
oct3343777457064440
9526177761000770
10121221102201120
1135696642a68339
1211719565a36a00
135284140860acc
1421d11bddd262c
15e0338bc2a230
hex6e3ffcbc6920

121221102201120 has 576 divisors, whose sum is σ = 431794076313600. Its totient is φ = 30933619752960.

The previous prime is 121221102201097. The next prime is 121221102201127. The reversal of 121221102201120 is 21102201122121.

121221102201120 is a `hidden beast` number, since 1 + 21 + 221 + 102 + 201 + 120 = 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 = 121221102201093 and 121221102201102.

It is not an unprimeable number, because it can be changed into a prime (121221102201127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2447452516 + ... + 2447502044.

It is an arithmetic number, because the mean of its divisors is an integer number (749642493600).

Almost surely, 2121221102201120 is an apocalyptic number.

121221102201120 is a gapful number since it is divisible by the number (10) 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 121221102201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215897038156800).

121221102201120 is an abundant number, since it is smaller than the sum of its proper divisors (310572974112480).

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

121221102201120 is a wasteful number, since it uses less digits than its factorization.

121221102201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50193 (or 50182 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121221102201120 its reverse (21102201122121), we get a palindrome (142323303323241).

The spelling of 121221102201120 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred two million, two hundred one thousand, one hundred twenty".