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1212410324112 = 2431379191128767
BaseRepresentation
bin10001101001001001010…
…010010110010010010000
311021220102221220220012020
4101221021102112102100
5124331004020332422
62324550144531440
7153410441501001
oct21511122262220
94256387826166
101212410324112
114281a90252a9
12176b81920b80
138a439767060
14429768371a8
152180e4ad95c
hex11a49496490

1212410324112 has 160 divisors (see below), whose sum is σ = 3433593569280. Its totient is φ = 366395927040.

The previous prime is 1212410324057. The next prime is 1212410324117. The reversal of 1212410324112 is 2114230142121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1212410324117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9351153 + ... + 9479919.

It is an arithmetic number, because the mean of its divisors is an integer number (21459959808).

Almost surely, 21212410324112 is an apocalyptic number.

1212410324112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212410324112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716796784640).

1212410324112 is an abundant number, since it is smaller than the sum of its proper divisors (2221183245168).

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

1212410324112 is a wasteful number, since it uses less digits than its factorization.

1212410324112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129061 (or 129055 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1212410324112 its reverse (2114230142121), we get a palindrome (3326640466233).

The spelling of 1212410324112 in words is "one trillion, two hundred twelve billion, four hundred ten million, three hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 191 208 237 312 316 382 474 573 624 632 764 948 1027 1146 1264 1528 1896 2054 2292 2483 3056 3081 3792 4108 4584 4966 6162 7449 8216 9168 9932 12324 14898 15089 16432 19864 24648 29796 30178 39728 45267 49296 59592 60356 90534 119184 120712 128767 181068 196157 241424 257534 362136 386301 392314 515068 588471 724272 772602 784628 1030136 1176942 1545204 1569256 1673971 2060272 2353884 3090408 3138512 3347942 4707768 5021913 6180816 6695884 9415536 10043826 10172593 13391768 20087652 20345186 24594497 26783536 30517779 40175304 40690372 49188994 61035558 73783491 80350608 81380744 98377988 122071116 132243709 147566982 162761488 196755976 244142232 264487418 295133964 319728461 393511952 396731127 488284464 528974836 590267928 639456922 793462254 959185383 1057949672 1180535856 1278913844 1586924508 1918370766 1942965263 2115899344 2557827688 3173849016 3836741532 3885930526 5115655376 5828895789 6347698032 7673483064 7771861052 11657791578 15346966128 15543722104 23315583156 25258548419 31087444208 46631166312 50517096838 75775645257 93262332624 101034193676 151551290514 202068387352 303102581028 404136774704 606205162056 1212410324112