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122000020102132 = 224773137155941621
BaseRepresentation
bin11011101111010101010111…
…110111000101101111110100
3120222222002101011110011211221
4123233111113313011233310
5111442322020121232012
61111250011400440124
734461132141435064
oct3357252767055764
9528862334404757
10122000020102132
1135966a108a5027
1211824507a79044
13530c724babaa3
14221ab924733a4
15e187792a4507
hex6ef557dc5bf4

122000020102132 has 96 divisors (see below), whose sum is σ = 222790991754240. Its totient is φ = 58415589181440.

The previous prime is 122000020102043. The next prime is 122000020102133. The reversal of 122000020102132 is 231201020000221.

It is a happy number.

It is a super-2 number, since 2×1220000201021322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000020102133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2931192282 + ... + 2931233902.

It is an arithmetic number, because the mean of its divisors is an integer number (2320739497440).

Almost surely, 2122000020102132 is an apocalyptic number.

It is an amenable number.

122000020102132 is a deficient number, since it is larger than the sum of its proper divisors (100790971652108).

122000020102132 is a wasteful number, since it uses less digits than its factorization.

122000020102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43441 (or 43439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122000020102132 its reverse (231201020000221), we get a palindrome (353201040102353).

The spelling of 122000020102132 in words is "one hundred twenty-two trillion, twenty million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 47 73 94 137 146 188 274 292 548 1559 3118 3431 6236 6439 6862 10001 12878 13724 20002 25756 40004 41621 73273 83242 113807 146546 166484 213583 227614 293092 427166 455228 470047 854332 940094 1880188 1956187 3038333 3912374 5348929 5702077 6076666 7824748 10038401 10697858 11404154 12153332 15591559 20076802 21395716 22808308 31183118 40153604 62366236 64887139 129774278 142801651 259548556 267997619 285603302 416251621 535995238 571206604 732803273 832503242 1071990476 1465606546 1665006484 2931213092 3049695533 4736761147 6099391066 8889538043 9473522294 12198782132 17779076086 18947044588 19563826187 35558152172 39127652374 78255304748 222627773909 417808288021 445255547818 648936277139 835616576042 890511095636 1297872554278 1671233152084 2595745108556 30500005025533 61000010051066 122000020102132