Search a number
-
+
122243200123401 = 3273395575714411
BaseRepresentation
bin11011110010110111110110…
…100001010000001000001001
3121000211100001210120012221100
4123302313312201100020021
5112010313033212422101
61111553430104332013
734514531312502660
oct3362676641201011
9530740053505840
10122243200123401
1135a50060661315
1211863674474009
13532963b0454b6
1422288611c9dd7
15e1ec5d4b3e86
hex6f2df6850209

122243200123401 has 24 divisors (see below), whose sum is σ = 201798928229184. Its totient is φ = 69853039270560.

The previous prime is 122243200123357. The next prime is 122243200123439. The reversal of 122243200123401 is 104321002342221.

122243200123401 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 43 + 200 + 12 + 3 + 401 = 666.

It is not a de Polignac number, because 122243200123401 - 221 = 122243198026249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122243200127401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18534886 + ... + 24249296.

It is an arithmetic number, because the mean of its divisors is an integer number (8408288676216).

Almost surely, 2122243200123401 is an apocalyptic number.

It is an amenable number.

122243200123401 is a deficient number, since it is larger than the sum of its proper divisors (79555728105783).

122243200123401 is a wasteful number, since it uses less digits than its factorization.

122243200123401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053981 (or 6053978 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 122243200123401 its reverse (104321002342221), we get a palindrome (226564202465622).

The spelling of 122243200123401 in words is "one hundred twenty-two trillion, two hundred forty-three billion, two hundred million, one hundred twenty-three thousand, four hundred one".

Divisors: 1 3 7 9 21 63 339557 1018671 2376899 3056013 5714411 7130697 17143233 21392091 40000877 51429699 120002631 360007893 1940368255927 5821104767781 13582577791489 17463314303343 40747733374467 122243200123401