Search a number
-
+
122002100022220 = 2251131731369717891
BaseRepresentation
bin11011101111010111010011…
…110101010110101111001100
3120222222021202010012001211021
4123233113103311112233030
5111442340300101202340
61111250554020403524
734461234525451045
oct3357272365265714
9528867663161737
10122002100022220
1135967888968850
12118249a85465a4
13530c996a89032
14221ad0c7b38cc
15e1884bba1e4a
hex6ef5d3d56bcc

122002100022220 has 192 divisors, whose sum is σ = 292501626826752. Its totient is φ = 42339704832000.

The previous prime is 122002100022217. The next prime is 122002100022233. The reversal of 122002100022220 is 22220001200221.

It is a junction number, because it is equal to n+sod(n) for n = 122002100022194 and 122002100022203.

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, 6819179475 + ... + 6819197365.

It is an arithmetic number, because the mean of its divisors is an integer number (1523445973056).

Almost surely, 2122002100022220 is an apocalyptic number.

122002100022220 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 122002100022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146250813413376).

122002100022220 is an abundant number, since it is smaller than the sum of its proper divisors (170499526804532).

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

122002100022220 is a wasteful number, since it uses less digits than its factorization.

122002100022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31712 (or 31710 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122002100022220 its reverse (22220001200221), we get a palindrome (144222101222441).

The spelling of 122002100022220 in words is "one hundred twenty-two trillion, two billion, one hundred million, twenty-two thousand, two hundred twenty".