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1201121012 = 2271328111743
BaseRepresentation
bin100011110010111…
…1010011011110100
310002201010021021102
41013211322123310
54424441333022
6315104105232
741523234350
oct10745723364
93081107242
101201121012
11567001aa3
12296305218
13161ac77c0
14b5742460
15706aca92
hex4797a6f4

1201121012 has 48 divisors (see below), whose sum is σ = 2596457472. Its totient is φ = 473437440.

The previous prime is 1201121003. The next prime is 1201121023. The reversal of 1201121012 is 2101211021.

It is a junction number, because it is equal to n+sod(n) for n = 1201120984 and 1201121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96413 + ... + 108155.

It is an arithmetic number, because the mean of its divisors is an integer number (54092864).

Almost surely, 21201121012 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 1201121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298228736).

1201121012 is an abundant number, since it is smaller than the sum of its proper divisors (1395336460).

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

1201121012 is a wasteful number, since it uses less digits than its factorization.

1201121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12048 (or 12046 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1201121012 is about 34657.1927887993. The cubic root of 1201121012 is about 1062.9893698086.

Adding to 1201121012 its reverse (2101211021), we get a palindrome (3302332033).

Subtracting 1201121012 from its reverse (2101211021), we obtain a palindrome (900090009).

The spelling of 1201121012 in words is "one billion, two hundred one million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 281 364 562 1124 1967 3653 3934 7306 7868 11743 14612 23486 25571 46972 51142 82201 102284 152659 164402 305318 328804 610636 1068613 2137226 3299783 4274452 6599566 13199132 23098481 42897179 46196962 85794358 92393924 171588716 300280253 600560506 1201121012