Search a number
-
+
1222100121096 = 233414891266593
BaseRepresentation
bin10001110010001010110…
…101111111011000001000
311022211110020222120210000
4101302022311333120020
5130010330112333341
62333231450523000
7154202531426661
oct21621265773010
94284406876700
101222100121096
11431320727188
12178a26a36460
138b3220c363a
14432156cc368
1521bc9ee48b6
hex11c8ad7f608

1222100121096 has 80 divisors (see below), whose sum is σ = 3425313483900. Its totient is φ = 407092801536.

The previous prime is 1222100121041. The next prime is 1222100121097. The reversal of 1222100121096 is 6901210012221.

It can be written as a sum of positive squares in 2 ways, for example, as 1136385848196 + 85714272900 = 1066014^2 + 292770^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1222100121097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 331576 + ... + 1598168.

Almost surely, 21222100121096 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 1222100121096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712656741950).

1222100121096 is an abundant number, since it is smaller than the sum of its proper divisors (2203213362804).

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

1222100121096 is a wasteful number, since it uses less digits than its factorization.

1222100121096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268100 (or 1268087 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1222100121096 in words is "one trillion, two hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1489 2978 4467 5956 8934 11912 13401 17868 26802 35736 40203 53604 80406 107208 120609 160812 241218 321624 482436 964872 1266593 2533186 3799779 5066372 7599558 10132744 11399337 15199116 22798674 30398232 34198011 45597348 68396022 91194696 102594033 136792044 205188066 273584088 410376132 820752264 1885956977 3771913954 5657870931 7543827908 11315741862 15087655816 16973612793 22631483724 33947225586 45262967448 50920838379 67894451172 101841676758 135788902344 152762515137 203683353516 305525030274 407366707032 611050060548 1222100121096