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10122112200000 = 2635537212323
BaseRepresentation
bin1001001101001011110011…
…1001101110110101000000
31022211122221101212202000110
42103102330321232311000
52311320041210400000
633310011213151320
72063204243045223
oct223227471566500
938748841782013
1010122112200000
1132528444aa279
121175896a8b540
13585684b12778
1426dcacbb95ba
15128475570850
hex934bce6ed40

10122112200000 has 504 divisors, whose sum is σ = 34406598399264. Its totient is φ = 2626064640000.

The previous prime is 10122112199999. The next prime is 10122112200001. The reversal of 10122112200000 is 221122101.

10122112200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10122112199999) and next prime (10122112200001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122112200001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 821393839 + ... + 821406161.

It is an arithmetic number, because the mean of its divisors is an integer number (68267060316).

Almost surely, 210122112200000 is an apocalyptic number.

10122112200000 is a gapful number since it is divisible by the number (10) 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 10122112200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203299199632).

10122112200000 is an abundant number, since it is smaller than the sum of its proper divisors (24284486199264).

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

10122112200000 is an frugal number, since it uses more digits than its factorization.

10122112200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12437 (or 12370 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10122112200000 its reverse (221122101), we get a palindrome (10122333322101).

The spelling of 10122112200000 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, two hundred thousand".