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122021344 = 2519972069
BaseRepresentation
bin1110100010111…
…10010111100000
322111121022211001
413101132113200
5222214140334
620035201344
73011110234
oct721362740
9274538731
10122021344
1162972495
1234a46254
131c383ca3
14122c45c4
15aaa4714
hex745e5e0

122021344 has 48 divisors (see below), whose sum is σ = 255603600. Its totient is φ = 57176064.

The previous prime is 122021329. The next prime is 122021351. The reversal of 122021344 is 443120221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57942 + ... + 60010.

It is an arithmetic number, because the mean of its divisors is an integer number (5325075).

Almost surely, 2122021344 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 122021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127801800).

122021344 is an abundant number, since it is smaller than the sum of its proper divisors (133582256).

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

122021344 is a wasteful number, since it uses less digits than its factorization.

122021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 122021344 is about 11046.3271724135. The cubic root of 122021344 is about 495.9964880084.

Adding to 122021344 its reverse (443120221), we get a palindrome (565141565).

The spelling of 122021344 in words is "one hundred twenty-two million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 97 152 194 304 388 608 776 1552 1843 2069 3104 3686 4138 7372 8276 14744 16552 29488 33104 39311 58976 66208 78622 157244 200693 314488 401386 628976 802772 1257952 1605544 3211088 3813167 6422176 7626334 15252668 30505336 61010672 122021344