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1022121112012 = 2271113349731447
BaseRepresentation
bin11101101111110110010…
…10100111000111001100
310121201021101012100101221
432313323022213013030
5113221301001041022
62101320030413124
7133563054046660
oct16677312470714
93551241170357
101022121112012
1136452a7a2850
121461163611a4
1375502243930
14376843128a0
151b8c3819cc7
hexedfb2a71cc

1022121112012 has 96 divisors (see below), whose sum is σ = 2408511974400. Its totient is φ = 366542219520.

The previous prime is 1022121112007. The next prime is 1022121112013. The reversal of 1022121112012 is 2102111212201.

It is not an unprimeable number, because it can be changed into a prime (1022121112013) 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, 1031673 + ... + 1763119.

It is an arithmetic number, because the mean of its divisors is an integer number (25088666400).

Almost surely, 21022121112012 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 1022121112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204255987200).

1022121112012 is an abundant number, since it is smaller than the sum of its proper divisors (1386390862388).

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

1022121112012 is a wasteful number, since it uses less digits than its factorization.

1022121112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731831 (or 731829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1022121112012 its reverse (2102111212201), we get a palindrome (3124232324213).

The spelling of 1022121112012 in words is "one trillion, twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 349 364 572 698 1001 1396 2002 2443 3839 4004 4537 4886 7678 9074 9772 15356 18148 26873 31759 49907 53746 63518 99814 107492 127036 199628 349349 698698 731447 1397396 1462894 2925788 5120129 8045917 9508811 10240258 16091834 19017622 20480516 32183668 38035244 56321419 66561677 104596921 112642838 133123354 209193842 225285676 255275003 266246708 418387684 510550006 732178447 1021100012 1464356894 1786925021 2808025033 2928713788 3318575039 3573850042 5616050066 6637150078 7147700084 11232100132 13274300156 19656175231 23230025273 36504325429 39312350462 46460050546 73008650858 78624700924 92920101092 146017301716 255530278003 511060556006 1022121112012