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122626021441 = 71131353145531
BaseRepresentation
bin111001000110100010…
…1001001100001000001
3102201112000111022200211
41302031011021201001
54002114230141231
6132200021114121
711600533661410
oct1621505114101
9381460438624
10122626021441
1148007212980
121b923258941
13b74326b401
145d13ddd477
1532ca7c5eb1
hex1c8d149841

122626021441 has 32 divisors (see below), whose sum is σ = 158264303616. Its totient is φ = 92207808000.

The previous prime is 122626021403. The next prime is 122626021459. The reversal of 122626021441 is 144120626221.

It is not a de Polignac number, because 122626021441 - 29 = 122626020929 is a prime.

It is a super-2 number, since 2×1226260214412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122626027441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769846 + ... + 915376.

It is an arithmetic number, because the mean of its divisors is an integer number (4945759488).

Almost surely, 2122626021441 is an apocalyptic number.

122626021441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122626021441 is a deficient number, since it is larger than the sum of its proper divisors (35638282175).

122626021441 is a wasteful number, since it uses less digits than its factorization.

122626021441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145933.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 122626021441 its reverse (144120626221), we get a palindrome (266746647662).

The spelling of 122626021441 in words is "one hundred twenty-two billion, six hundred twenty-six million, twenty-one thousand, four hundred forty-one".

Divisors: 1 7 11 31 77 217 341 353 2387 2471 3883 10943 27181 76601 120373 145531 842611 1018717 1600841 4511461 11205887 31580227 49626071 51372443 347382497 359607101 565096873 1592545733 3955678111 11147820131 17518003063 122626021441