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122133301021332 = 223213133403775309
BaseRepresentation
bin11011110001010001100000…
…000001011100101010010100
3121000102211101202000101111200
4123301101200001130222110
5112002013000030140312
61111431133001232500
734503561024524406
oct3361214001345224
9530384352011450
10122133301021332
1135a08495466327
1211846303492730
13531c175714a13
1422233d758cb76
15e1be7a19c0dc
hex6f146005ca94

122133301021332 has 72 divisors (see below), whose sum is σ = 311092244342880. Its totient is φ = 40399066992960.

The previous prime is 122133301021331. The next prime is 122133301021337. The reversal of 122133301021332 is 233120103331221.

122133301021332 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 3 + 301 + 0 + 21 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122133301021296 and 122133301021305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133301021331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157140894 + ... + 157916202.

Almost surely, 2122133301021332 is an apocalyptic number.

122133301021332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122133301021332 is an abundant number, since it is smaller than the sum of its proper divisors (188958943321548).

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

122133301021332 is a wasteful number, since it uses less digits than its factorization.

122133301021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808853 (or 808848 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122133301021332 its reverse (233120103331221), we get a palindrome (355253404352553).

The spelling of 122133301021332 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, three hundred one million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 33403 66806 100209 133612 200418 300627 400836 601254 775309 1202508 1550618 2325927 3101236 4375793 4651854 6977781 8751586 9303708 13127379 13955562 17503172 26254758 27911124 39382137 52509516 78764274 101565479 157528548 203130958 304696437 406261916 609392874 914089311 1218785748 1828178622 3656357244 25897646527 51795293054 77692939581 103590586108 155385879162 233078818743 310771758324 466157637486 932315274972 3392591695037 6785183390074 10177775085111 13570366780148 20355550170222 30533325255333 40711100340444 61066650510666 122133301021332