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122145336152 = 23753223718397
BaseRepresentation
bin111000111000001101…
…1011110101101011000
3102200021111222222102222
41301300123132231120
54000123201224102
6132040210243212
711552606140520
oct1616033365530
9380244888388
10122145336152
114788a948a04
121b80a286508
13b6977b9848
145caa234680
15329d4c5aa2
hex1c706deb58

122145336152 has 64 divisors (see below), whose sum is σ = 266812211520. Its totient is φ = 51334553088.

The previous prime is 122145336151. The next prime is 122145336163. The reversal of 122145336152 is 251633541221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122145336151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6630218 + ... + 6648614.

It is an arithmetic number, because the mean of its divisors is an integer number (4168940805).

Almost surely, 2122145336152 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 122145336152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133406105760).

122145336152 is an abundant number, since it is smaller than the sum of its proper divisors (144666875368).

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

122145336152 is a wasteful number, since it uses less digits than its factorization.

122145336152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20700 (or 20696 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

Adding to 122145336152 its reverse (251633541221), we get a palindrome (373778877373).

The spelling of 122145336152 in words is "one hundred twenty-two billion, one hundred forty-five million, three hundred thirty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2237 2968 4474 8948 15659 17896 18397 31318 36794 62636 73588 118561 125272 128779 147176 237122 257558 474244 515116 829927 948488 975041 1030232 1659854 1950082 3319708 3900164 6639416 6825287 7800328 13650574 27301148 41154089 54602296 82308178 164616356 288078623 329232712 576157246 1152314492 2181166717 2304628984 4362333434 8724666868 15268167019 17449333736 30536334038 61072668076 122145336152