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1012954714912 = 257192329356831
BaseRepresentation
bin11101011110110001100…
…11100101001100100000
310120211121120000010111001
432233120303211030200
5113044012401334122
62053202303001344
7133116651004120
oct16573063451440
93524546003431
101012954714912
1136065658aa58
12144398599254
13746a117321a
1437054b84c80
151b538c20527
hexebd8ce5320

1012954714912 has 192 divisors, whose sum is σ = 2589743923200. Its totient is φ = 379826979840.

The previous prime is 1012954714853. The next prime is 1012954714951. The reversal of 1012954714912 is 2194174592101.

It is a happy number.

1012954714912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2660337 + ... + 3017167.

It is an arithmetic number, because the mean of its divisors is an integer number (13488249600).

Almost surely, 21012954714912 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 1012954714912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294871961600).

1012954714912 is an abundant number, since it is smaller than the sum of its proper divisors (1576789208288).

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

1012954714912 is a wasteful number, since it uses less digits than its factorization.

1012954714912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356919 (or 356911 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 1012954714912 in words is "one trillion, twelve billion, nine hundred fifty-four million, seven hundred fourteen thousand, nine hundred twelve".