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121220201002212 = 2233131491793237193
BaseRepresentation
bin11011100011111111000111…
…000001010011010011100100
3120220012112112020020101101000
4123203333013001103103210
5111342032432424032322
61105451442551033300
734350604404444324
oct3343770701232344
9526175466211330
10121220201002212
1135696220297254
121171935406b830
135284028c37810
1421d1136443284
15e03337a633ac
hex6e3fc70534e4

121220201002212 has 192 divisors, whose sum is σ = 342624612960000. Its totient is φ = 36841213172736.

The previous prime is 121220201002163. The next prime is 121220201002231. The reversal of 121220201002212 is 212200102022121.

It is a happy number.

121220201002212 is a `hidden beast` number, since 1 + 21 + 220 + 201 + 0 + 0 + 221 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35827488 + ... + 39064680.

It is an arithmetic number, because the mean of its divisors is an integer number (1784503192500).

Almost surely, 2121220201002212 is an apocalyptic number.

121220201002212 is a gapful number since it is divisible by the number (12) 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 121220201002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171312306480000).

121220201002212 is an abundant number, since it is smaller than the sum of its proper divisors (221404411957788).

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

121220201002212 is a wasteful number, since it uses less digits than its factorization.

121220201002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237547 (or 3237539 counting only the distinct ones).

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

Adding to 121220201002212 its reverse (212200102022121), we get a palindrome (333420303024333).

The spelling of 121220201002212 in words is "one hundred twenty-one trillion, two hundred twenty billion, two hundred one million, two thousand, two hundred twelve".