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122413132044 = 223279715313271
BaseRepresentation
bin111001000000001100…
…1000010100100001100
3102200222011220102100100
41302000121002210030
54001200230211134
6132122534131100
711562340311540
oct1620031024414
9380864812310
10122413132044
1147a08026a25
121b883ab0a90
13b70b120358
145cd3a23a20
1532b6c72999
hex1c8064290c

122413132044 has 144 divisors (see below), whose sum is σ = 357626354176. Its totient is φ = 34581427200.

The previous prime is 122413132031. The next prime is 122413132063. The reversal of 122413132044 is 440231314221.

It is a junction number, because it is equal to n+sod(n) for n = 122413131999 and 122413132017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37422129 + ... + 37425399.

Almost surely, 2122413132044 is an apocalyptic number.

122413132044 is a gapful number since it is divisible by the number (14) 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 122413132044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178813177088).

122413132044 is an abundant number, since it is smaller than the sum of its proper divisors (235213222132).

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

122413132044 is a wasteful number, since it uses less digits than its factorization.

122413132044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4911 counting only the distinct ones).

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

Adding to 122413132044 its reverse (440231314221), we get a palindrome (562644446265).

The spelling of 122413132044 in words is "one hundred twenty-two billion, four hundred thirteen million, one hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1358 1531 1746 2037 2716 3062 3271 3492 4074 4593 6111 6124 6542 8148 9186 9813 10717 12222 13084 13779 18372 19626 21434 22897 24444 27558 29439 32151 39252 42868 45794 55116 58878 64302 68691 91588 96453 117756 128604 137382 148507 192906 206073 274764 297014 317287 385812 412146 445521 594028 634574 824292 891042 951861 1039549 1269148 1336563 1782084 1903722 2079098 2221009 2673126 2855583 3118647 3807444 4158196 4442018 5007901 5346252 5711166 6237294 6663027 8884036 9355941 10015802 11422332 12474588 13326054 15023703 18711882 19989081 20031604 26652108 30047406 35055307 37423764 39978162 45071109 60094812 70110614 79956324 90142218 105165921 140221228 180284436 210331842 315497763 420663684 485766397 630995526 971532794 1261991052 1457299191 1943065588 2914598382 3400364779 4371897573 5829196764 6800729558 8743795146 10201094337 13601459116 17487590292 20402188674 30603283011 40804377348 61206566022 122413132044