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21211200012 = 223193711172251
BaseRepresentation
bin10011110000010010…
…010011101000001100
32000202020121121022110
4103300102103220030
5321420031400022
613424433344020
71350430140162
oct236022235014
960666547273
1021211200012
118aa5195572
12413b708010
1320005c0c32
1410530cd232
1584226a00c
hex4f0493a0c

21211200012 has 96 divisors (see below), whose sum is σ = 53577422080. Its totient is φ = 6508512000.

The previous prime is 21211200011. The next prime is 21211200019. The reversal of 21211200012 is 21000211212.

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

It is not an unprimeable number, because it can be changed into a prime (21211200011) 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, 9421887 + ... + 9424137.

Almost surely, 221211200012 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 21211200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26788711040).

21211200012 is an abundant number, since it is smaller than the sum of its proper divisors (32366222068).

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

21211200012 is a wasteful number, since it uses less digits than its factorization.

21211200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3429 counting only the distinct ones).

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

Adding to 21211200012 its reverse (21000211212), we get a palindrome (42211411224).

It can be divided in two parts, 2121 and 1200012, that multiplied together give a palindrome (2545225452).

The spelling of 21211200012 in words is "twenty-one billion, two hundred eleven million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1117 1406 2109 2234 2251 2812 3351 4218 4468 4502 6702 6753 8436 9004 13404 13506 21223 27012 41329 42446 42769 63669 82658 83287 84892 85538 123987 127338 128307 165316 166574 171076 247974 249861 254676 256614 333148 495948 499722 513228 785251 999444 1570502 1582453 2355753 2514367 3141004 3164906 4711506 4747359 5028734 6329812 7543101 9423012 9494718 10057468 15086202 18989436 30172404 47772973 93031579 95545946 143318919 186063158 191091892 279094737 286637838 372126316 558189474 573275676 1116378948 1767600001 3535200002 5302800003 7070400004 10605600006 21211200012