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123041125152 = 25321138838739
BaseRepresentation
bin111001010010111010…
…0101001001100100000
3102202120221120202221100
41302211310221030200
54003442012001102
6132305130154400
711614034210331
oct1624564511440
9382527522840
10123041125152
11481aa5644a0
121ba1a282a00
13b7ab26a5ca
145d531b6288
153301e6ea1c
hex1ca5d29320

123041125152 has 72 divisors (see below), whose sum is σ = 381707136720. Its totient is φ = 37285188480.

The previous prime is 123041125133. The next prime is 123041125157. The reversal of 123041125152 is 251521140321.

It is a happy number.

123041125152 is a `hidden beast` number, since 1 + 2 + 30 + 4 + 112 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (123041125157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19416202 + ... + 19422537.

It is an arithmetic number, because the mean of its divisors is an integer number (5301488010).

Almost surely, 2123041125152 is an apocalyptic number.

123041125152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123041125152 is an abundant number, since it is smaller than the sum of its proper divisors (258666011568).

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

123041125152 is a wasteful number, since it uses less digits than its factorization.

123041125152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38838766 (or 38838755 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 123041125152 its reverse (251521140321), we get a palindrome (374562265473).

The spelling of 123041125152 in words is "one hundred twenty-three billion, forty-one million, one hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 38838739 77677478 116516217 155354956 233032434 310709912 349548651 427226129 466064868 621419824 699097302 854452258 932129736 1242839648 1281678387 1398194604 1708904516 1864259472 2563356774 2796389208 3417809032 3728518944 3845035161 5126713548 5592778416 6835618064 7690070322 10253427096 11185556832 13671236128 15380140644 20506854192 30760281288 41013708384 61520562576 123041125152