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12011202100 = 2252177065413
BaseRepresentation
bin10110010111110110…
…00110011000110100
31011000002012021202001
423023323012120310
5144044331431400
65303505425044
7603435350632
oct131373063064
934002167661
1012011202100
115104012a07
1223b263b184
1311955875a1
1481d2d6352
154a4734a6a
hex2cbec6634

12011202100 has 36 divisors (see below), whose sum is σ = 27597507084. Its totient is φ = 4521863680.

The previous prime is 12011202067. The next prime is 12011202101. The reversal of 12011202100 is 120211021.

It can be written as a sum of positive squares in 6 ways, for example, as 255872016 + 11755330084 = 15996^2 + 108422^2 .

It is a super-5 number, since 5×120112021005 (a number of 52 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011202101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3531007 + ... + 3534406.

It is an arithmetic number, because the mean of its divisors is an integer number (766597419).

Almost surely, 212011202100 is an apocalyptic number.

12011202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011202100 is an abundant number, since it is smaller than the sum of its proper divisors (15586304984).

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

12011202100 is a wasteful number, since it uses less digits than its factorization.

12011202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7065444 (or 7065437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12011202100 its reverse (120211021), we get a palindrome (12131413121).

The spelling of 12011202100 in words is "twelve billion, eleven million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7065413 14130826 28261652 35327065 70654130 120112021 141308260 176635325 240224042 353270650 480448084 600560105 706541300 1201120210 2402240420 3002800525 6005601050 12011202100