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122621421152 = 2519617941851
BaseRepresentation
bin111001000110011001…
…1100110011001100000
3102201111200211121021202
41302030303212121200
54002112040434102
6132155334340332
711600446611446
oct1621463463140
9381450747252
10122621421152
114800466068a
121b9217ba6a8
13b74231a549
145d13562b96
1532ca1b7e02
hex1c8cce6660

122621421152 has 96 divisors (see below), whose sum is σ = 261558259200. Its totient is φ = 56407104000.

The previous prime is 122621421119. The next prime is 122621421157. The reversal of 122621421152 is 251124126221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122621421157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2909027 + ... + 2950877.

It is an arithmetic number, because the mean of its divisors is an integer number (2724565200).

Almost surely, 2122621421152 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 122621421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130779129600).

122621421152 is an abundant number, since it is smaller than the sum of its proper divisors (138936838048).

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

122621421152 is a wasteful number, since it uses less digits than its factorization.

122621421152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42020 (or 42012 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

Adding to 122621421152 its reverse (251124126221), we get a palindrome (373745547373).

The spelling of 122621421152 in words is "one hundred twenty-two billion, six hundred twenty-one million, four hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 61 76 79 122 152 158 244 304 316 488 608 632 976 1159 1264 1501 1952 2318 2528 3002 4636 4819 6004 9272 9638 12008 18544 19276 24016 37088 38552 41851 48032 77104 83702 91561 154208 167404 183122 334808 366244 669616 732488 795169 1339232 1464976 1590338 2552911 2929952 3180676 3306229 5105822 6361352 6612458 10211644 12722704 13224916 20423288 25445408 26449832 40846576 48505309 52899664 62818351 81693152 97010618 105799328 125636702 194021236 201679969 251273404 388042472 403359938 502546808 776084944 806719876 1005093616 1552169888 1613439752 2010187232 3226879504 3831919411 6453759008 7663838822 15327677644 30655355288 61310710576 122621421152