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2121210201220 = 2251131714333271
BaseRepresentation
bin11110110111100001111…
…110110000010010000100
321111210012210020001102221
4132313201332300102010
5234223214302414340
64302245344142124
7306152365133635
oct36674176602204
97453183201387
102121210201220
1174866694a000
122a3131007944
1312504c3a5226
147494a81d88c
153a29e33644a
hex1ede1fb0484

2121210201220 has 192 divisors, whose sum is σ = 5193083653632. Its totient is φ = 725247283200.

The previous prime is 2121210201191. The next prime is 2121210201269. The reversal of 2121210201220 is 221020121212.

It is a happy number.

It is a super-3 number, since 3×21212102012203 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121210201194 and 2121210201203.

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, 648488185 + ... + 648491455.

It is an arithmetic number, because the mean of its divisors is an integer number (27047310696).

Almost surely, 22121210201220 is an apocalyptic number.

2121210201220 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 2121210201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596541826816).

2121210201220 is an abundant number, since it is smaller than the sum of its proper divisors (3071873452412).

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

2121210201220 is a wasteful number, since it uses less digits than its factorization.

2121210201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2121210201220 its reverse (221020121212), we get a palindrome (2342230322432).

The spelling of 2121210201220 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, two hundred one thousand, two hundred twenty".