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122113321000132 = 227117913789363959
BaseRepresentation
bin11011110000111110111001…
…000111101101110011000100
3121000100220211022002011000111
4123300332321013231303010
5112001201040134001012
61111414030224122404
734502252634250630
oct3360767107556304
9530326738064014
10122113321000132
11359aaa72242710
1211842468166404
13531a310213977
14222245dbc7dc0
15e1b6ab07aba7
hex6f0fb91edcc4

122113321000132 has 96 divisors (see below), whose sum is σ = 269821891584000. Its totient is φ = 46970847181440.

The previous prime is 122113321000057. The next prime is 122113321000183. The reversal of 122113321000132 is 231000123311221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335331969 + ... + 335695927.

It is an arithmetic number, because the mean of its divisors is an integer number (2810644704000).

Almost surely, 2122113321000132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122113321000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134910945792000).

122113321000132 is an abundant number, since it is smaller than the sum of its proper divisors (147708570583868).

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

122113321000132 is a wasteful number, since it uses less digits than its factorization.

122113321000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377849 (or 377847 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 122113321000132 its reverse (231000123311221), we get a palindrome (353113444311353).

The spelling of 122113321000132 in words is "one hundred twenty-two trillion, one hundred thirteen billion, three hundred twenty-one million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 22 28 44 77 79 154 158 308 316 553 869 1106 1738 2212 3476 6083 12166 13789 24332 27578 55156 96523 151679 193046 303358 363959 386092 606716 727918 1061753 1089331 1455836 2123506 2178662 2547713 4003549 4247012 4357324 5095426 7625317 8007098 10190852 11982641 15250634 16014196 23965282 28024843 28752761 30501268 47930564 56049686 57505522 83878487 112099372 115011044 167756974 201269327 316280371 335513948 402538654 632560742 805077308 1265121484 2213962597 4427925194 5018630651 8855850388 10037261302 20074522604 35130414557 55204937161 70260829114 110409874322 140521658228 220819748644 386434560127 396471821429 772869120254 792943642858 1545738240508 1585887285716 2775302750003 4361190035719 5550605500006 8722380071438 11101211000012 17444760142876 30528330250033 61056660500066 122113321000132