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120212001100 = 225279132711467
BaseRepresentation
bin110111111110100110…
…0011001000101001100
3102111021210002101100001
41233331030121011030
53432143233013400
6131120304214044
711453652102262
oct1577514310514
9374253071301
10120212001100
1146a885a4744
121b36a90a324
13b44a0b3cc9
145b65570432
1531d88d0a6a
hex1bfd31914c

120212001100 has 72 divisors (see below), whose sum is σ = 264384189440. Its totient is φ = 47436217920.

The previous prime is 120212001083. The next prime is 120212001101. The reversal of 120212001100 is 1100212021.

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

It is not an unprimeable number, because it can be changed into a prime (120212001101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10477567 + ... + 10489033.

Almost surely, 2120212001100 is an apocalyptic number.

120212001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192094720).

120212001100 is an abundant number, since it is smaller than the sum of its proper divisors (144172188340).

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

120212001100 is a wasteful number, since it uses less digits than its factorization.

120212001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12887 (or 12880 counting only the distinct ones).

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

Adding to 120212001100 its reverse (1100212021), we get a palindrome (121312213121).

The spelling of 120212001100 in words is "one hundred twenty billion, two hundred twelve million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1327 1580 1975 2654 3950 5308 6635 7900 11467 13270 22934 26540 33175 45868 57335 66350 104833 114670 132700 209666 229340 286675 419332 524165 573350 905893 1048330 1146700 1811786 2096660 2620825 3623572 4529465 5241650 9058930 10483300 15216709 18117860 22647325 30433418 45294650 60866836 76083545 90589300 152167090 304334180 380417725 760835450 1202120011 1521670900 2404240022 4808480044 6010600055 12021200110 24042400220 30053000275 60106000550 120212001100